Journal of Function Spaces最新文献

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Global Existence and Blow-up of Solutions for a Class of Singular Parabolic Equations with Viscoelastic Term 一类带粘弹性项的奇异抛物方程的全局存在性和膨胀解
IF 1.9 3区 数学
Journal of Function Spaces Pub Date : 2024-05-28 DOI: 10.1155/2024/5754129
Yanchao Gao, Wenxu Jia, Zhixin Feng
{"title":"Global Existence and Blow-up of Solutions for a Class of Singular Parabolic Equations with Viscoelastic Term","authors":"Yanchao Gao, Wenxu Jia, Zhixin Feng","doi":"10.1155/2024/5754129","DOIUrl":"https://doi.org/10.1155/2024/5754129","url":null,"abstract":"In this paper, we consider the initial boundary value problem for a class of singular parabolic equations with viscoelastic term and logarithmic term. By using the technique of cut-off and the method of Faedo-Galerkin approximation, the local existence of the weak solution is established. Based on the potential well method, the global existence of the weak solution is derived. Furthermore, we prove that the weak solution blows up in finite time by taking the concavity analysis method.","PeriodicalId":15840,"journal":{"name":"Journal of Function Spaces","volume":"1 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141170511","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Coefficient Bounds for -Noshiro Starlike Functions in Conic Region 圆锥区内-Noshiro 星状函数的系数界值
IF 1.9 3区 数学
Journal of Function Spaces Pub Date : 2024-05-28 DOI: 10.1155/2024/4829276
V. Malathi, K. Vijaya
{"title":"Coefficient Bounds for -Noshiro Starlike Functions in Conic Region","authors":"V. Malathi, K. Vijaya","doi":"10.1155/2024/4829276","DOIUrl":"https://doi.org/10.1155/2024/4829276","url":null,"abstract":"We present and examine a new family of analytic functions that can be described by a <span><svg height=\"9.39034pt\" style=\"vertical-align:-3.42943pt\" version=\"1.1\" viewbox=\"-0.0498162 -5.96091 6.50656 9.39034\" width=\"6.50656pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g113-114\"></use></g></svg>-</span>Ruscheweyh differential operator. We discuss several novel results, including coefficient inequalities and other noteworthy properties such as partial sums and radii of starlikeness. Moreover, coefficient estimates for the class of Janowski starlike functions associated with symmetric conic domains are also discussed.","PeriodicalId":15840,"journal":{"name":"Journal of Function Spaces","volume":"6 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141170358","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Common Fixed Point Theorems on -Metric Spaces for Integral Type Contractions Involving Rational Terms and Application to Fractional Integral Equation 涉及有理项的积分型收缩的-度量空间上的常见定点定理及其在分式积分方程中的应用
IF 1.9 3区 数学
Journal of Function Spaces Pub Date : 2024-05-03 DOI: 10.1155/2024/5108481
G. S. Saluja, Hemant Kumar Nashine, Reena Jain, Rabha W. Ibrahim, Hossam A. Nabwey
{"title":"Common Fixed Point Theorems on -Metric Spaces for Integral Type Contractions Involving Rational Terms and Application to Fractional Integral Equation","authors":"G. S. Saluja, Hemant Kumar Nashine, Reena Jain, Rabha W. Ibrahim, Hossam A. Nabwey","doi":"10.1155/2024/5108481","DOIUrl":"https://doi.org/10.1155/2024/5108481","url":null,"abstract":"It has been shown that the findings of &lt;span&gt;&lt;svg height=\"9.49473pt\" style=\"vertical-align:-0.2063999pt\" version=\"1.1\" viewbox=\"-0.0498162 -9.28833 7.34169 9.49473\" width=\"7.34169pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,0,0)\"&gt;&lt;/path&gt;&lt;/g&gt;&lt;/svg&gt;-&lt;/span&gt;metric spaces may be deduced from &lt;span&gt;&lt;svg height=\"8.8423pt\" style=\"vertical-align:-0.2064009pt\" version=\"1.1\" viewbox=\"-0.0498162 -8.6359 6.25863 8.8423\" width=\"6.25863pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,0,0)\"&gt;&lt;use xlink:href=\"#g113-84\"&gt;&lt;/use&gt;&lt;/g&gt;&lt;/svg&gt;-&lt;/span&gt;metric spaces by considering &lt;span&gt;&lt;svg height=\"11.5564pt\" style=\"vertical-align:-2.26807pt\" version=\"1.1\" viewbox=\"-0.0498162 -9.28833 23.324 11.5564\" width=\"23.324pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,0,0)\"&gt;&lt;use xlink:href=\"#g113-101\"&gt;&lt;/use&gt;&lt;/g&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,7.215,0)\"&gt;&lt;/path&gt;&lt;/g&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,11.713,0)\"&gt;&lt;/path&gt;&lt;/g&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,20.36,0)\"&gt;&lt;/path&gt;&lt;/g&gt;&lt;/svg&gt;&lt;span&gt;&lt;/span&gt;&lt;svg height=\"11.5564pt\" style=\"vertical-align:-2.26807pt\" version=\"1.1\" viewbox=\"25.4531838 -9.28833 23.25 11.5564\" width=\"23.25pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,25.503,0)\"&gt;&lt;/path&gt;&lt;/g&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,32.992,0)\"&gt;&lt;/path&gt;&lt;/g&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,41.122,0)\"&gt;&lt;/path&gt;&lt;/g&gt;&lt;/svg&gt;&lt;span&gt;&lt;/span&gt;&lt;svg height=\"11.5564pt\" style=\"vertical-align:-2.26807pt\" version=\"1.1\" viewbox=\"52.3341838 -9.28833 25.02 11.5564\" width=\"25.02pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,52.384,0)\"&gt;&lt;/path&gt;&lt;/g&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,61.295,0)\"&gt;&lt;use xlink:href=\"#g113-41\"&gt;&lt;/use&gt;&lt;/g&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,65.793,0)\"&gt;&lt;use xlink:href=\"#g113-250\"&gt;&lt;/use&gt;&lt;/g&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,74.44,0)\"&gt;&lt;use xlink:href=\"#g113-45\"&gt;&lt;/use&gt;&lt;/g&gt;&lt;/svg&gt;&lt;span&gt;&lt;/span&gt;&lt;svg height=\"11.5564pt\" style=\"vertical-align:-2.26807pt\" version=\"1.1\" viewbox=\"79.5331838 -9.28833 11.61 11.5564\" width=\"11.61pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,79.583,0)\"&gt;&lt;use xlink:href=\"#g113-250\"&gt;&lt;/use&gt;&lt;/g&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,88.229,0)\"&gt;&lt;use xlink:href=\"#g113-45\"&gt;&lt;/use&gt;&lt;/g&gt;&lt;/svg&gt;&lt;span&gt;&lt;/span&gt;&lt;span&gt;&lt;svg height=\"11.5564pt\" style=\"vertical-align:-2.26807pt\" version=\"1.1\" viewbox=\"93.3221838 -9.28833 12.431 11.5564\" width=\"12.431pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,93.372,0)\"&gt;&lt;use xlink:href=\"#g113-249\"&gt;&lt;/use&gt;&lt;/g&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,100.861,0)\"&gt;&lt;use xlink:href=\"#g113-42\"&gt;&lt;/use&gt;&lt;/g&gt;&lt;/svg&gt;.&lt;/span&gt;&lt;/span&gt; In this study, no such concepts that tran","PeriodicalId":15840,"journal":{"name":"Journal of Function Spaces","volume":"62 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140832988","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Simple Proofs for Bochner-Schoenberg-Eberlein and the Bochner-Schoenberg-Eberlein Module Properties on 关于 Bochner-Schoenberg-Eberlein 和 Bochner-Schoenberg-Eberlein 模块性质的简单证明
IF 1.9 3区 数学
Journal of Function Spaces Pub Date : 2024-05-02 DOI: 10.1155/2024/5893357
Shirin Tavkoli, Rasoul Abazari, Ali Jabbari
{"title":"Simple Proofs for Bochner-Schoenberg-Eberlein and the Bochner-Schoenberg-Eberlein Module Properties on","authors":"Shirin Tavkoli, Rasoul Abazari, Ali Jabbari","doi":"10.1155/2024/5893357","DOIUrl":"https://doi.org/10.1155/2024/5893357","url":null,"abstract":"Let &lt;svg height=\"8.68572pt\" style=\"vertical-align:-0.0498209pt\" version=\"1.1\" viewbox=\"-0.0498162 -8.6359 10.0819 8.68572\" width=\"10.0819pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,0,0)\"&gt;&lt;use xlink:href=\"#g113-89\"&gt;&lt;/use&gt;&lt;/g&gt;&lt;/svg&gt; be a nonempty set, &lt;svg height=\"8.68572pt\" style=\"vertical-align:-0.0498209pt\" version=\"1.1\" viewbox=\"-0.0498162 -8.6359 9.2729 8.68572\" width=\"9.2729pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,0,0)\"&gt;&lt;use xlink:href=\"#g113-66\"&gt;&lt;/use&gt;&lt;/g&gt;&lt;/svg&gt; be a commutative Banach algebra, and &lt;span&gt;&lt;svg height=\"11.7782pt\" style=\"vertical-align:-3.42938pt\" version=\"1.1\" viewbox=\"-0.0498162 -8.34882 17.503 11.7782\" width=\"17.503pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,0,0)\"&gt;&lt;/path&gt;&lt;/g&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,9.872,0)\"&gt;&lt;/path&gt;&lt;/g&gt;&lt;/svg&gt;&lt;span&gt;&lt;/span&gt;&lt;svg height=\"11.7782pt\" style=\"vertical-align:-3.42938pt\" version=\"1.1\" viewbox=\"21.085183800000003 -8.34882 18.973 11.7782\" width=\"18.973pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,21.135,0)\"&gt;&lt;/path&gt;&lt;/g&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,32.477,0)\"&gt;&lt;/path&gt;&lt;/g&gt;&lt;/svg&gt;&lt;span&gt;&lt;/span&gt;&lt;span&gt;&lt;svg height=\"11.7782pt\" style=\"vertical-align:-3.42938pt\" version=\"1.1\" viewbox=\"43.6901838 -8.34882 13.517 11.7782\" width=\"13.517pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,43.74,0)\"&gt;&lt;/path&gt;&lt;/g&gt;&lt;/svg&gt;.&lt;/span&gt;&lt;/span&gt; In this paper, we present a concise proof for the result concerning the BSE (Banach space extension) property of &lt;span&gt;&lt;svg height=\"12.8091pt\" style=\"vertical-align:-2.2681pt\" version=\"1.1\" viewbox=\"-0.0498162 -10.541 28.884 12.8091\" width=\"28.884pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,0,0)\"&gt;&lt;use xlink:href=\"#g113-127\"&gt;&lt;/use&gt;&lt;/g&gt;&lt;g transform=\"matrix(.0091,0,0,-0.0091,6.047,-5.741)\"&gt;&lt;use xlink:href=\"#g50-113\"&gt;&lt;/use&gt;&lt;/g&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,11.998,0)\"&gt;&lt;use xlink:href=\"#g113-41\"&gt;&lt;/use&gt;&lt;/g&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,16.496,0)\"&gt;&lt;use xlink:href=\"#g113-89\"&gt;&lt;/use&gt;&lt;/g&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,25.92,0)\"&gt;&lt;use xlink:href=\"#g113-45\"&gt;&lt;/use&gt;&lt;/g&gt;&lt;/svg&gt;&lt;span&gt;&lt;/span&gt;&lt;span&gt;&lt;svg height=\"12.8091pt\" style=\"vertical-align:-2.2681pt\" version=\"1.1\" viewbox=\"31.0131838 -10.541 13.873 12.8091\" width=\"13.873pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,31.063,0)\"&gt;&lt;use xlink:href=\"#g113-66\"&gt;&lt;/use&gt;&lt;/g&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,40.198,0)\"&gt;&lt;use xlink:href=\"#g113-42\"&gt;&lt;/use&gt;&lt;/g&gt;&lt;/svg&gt;.&lt;/span&gt;&lt;/span&gt; Specifically, we establish that &lt;span&gt;&lt;svg height=\"12.8091pt\" style=\"vertical-align:-2.2681pt\" version=\"1.1\" viewbox=\"-0.0498162 -10.541 28.884 12.8091\"","PeriodicalId":15840,"journal":{"name":"Journal of Function Spaces","volume":"96 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140833017","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
An Algebraic Approach of Topological Indices Connected with Finite Quasigroups 与有限准群相关的拓扑索引代数方法
IF 1.9 3区 数学
Journal of Function Spaces Pub Date : 2024-04-20 DOI: 10.1155/2024/1948465
Muhammad Nadeem, Md. Ashraful Alam, Nwazish Ali, M. I. Elashiry
{"title":"An Algebraic Approach of Topological Indices Connected with Finite Quasigroups","authors":"Muhammad Nadeem, Md. Ashraful Alam, Nwazish Ali, M. I. Elashiry","doi":"10.1155/2024/1948465","DOIUrl":"https://doi.org/10.1155/2024/1948465","url":null,"abstract":"In mathematical chemistry, the algebraic polynomial serves as essential for calculating the most accurate expressions of distance-based, degree-distance-based, and degree-based topological indices. The chemical reactivity of molecules, which includes their tendency to engage in particular chemical processes or go through particular reactions, can be predicted using topological indices. Considerable effort has been put into examining the many topological descriptors of simple graphs using ring structures and well-known groups instead of nonassociative algebras, quasigroups, and loops. Both finite quasigroups and loops are the generalizations of groups. In this article, we calculate topological descriptors and some well-known polynomials, <span><svg height=\"8.68572pt\" style=\"vertical-align:-0.0498209pt\" version=\"1.1\" viewbox=\"-0.0498162 -8.6359 12.9526 8.68572\" width=\"12.9526pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"></path></g></svg>-</span>polynomial, Hosoya’s polynomial, Schultz’s polynomial, and modified Schultz polynomial of finite relatively prime graphs of most orders connected with two classes of quasigroups and go through their graphical aspects.","PeriodicalId":15840,"journal":{"name":"Journal of Function Spaces","volume":"57 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140627180","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Scalability of Generalized Frames for Operators 算子广义框架的可扩展性
IF 1.9 3区 数学
Journal of Function Spaces Pub Date : 2024-04-16 DOI: 10.1155/2024/8358987
Varinder Kumar, Sapna Malhotra, Nikhil Khanna
{"title":"Scalability of Generalized Frames for Operators","authors":"Varinder Kumar, Sapna Malhotra, Nikhil Khanna","doi":"10.1155/2024/8358987","DOIUrl":"https://doi.org/10.1155/2024/8358987","url":null,"abstract":"In this paper, the Parseval &lt;span&gt;&lt;svg height=\"8.68572pt\" style=\"vertical-align:-0.0498209pt\" version=\"1.1\" viewbox=\"-0.0498162 -8.6359 9.95144 8.68572\" width=\"9.95144pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,0,0)\"&gt;&lt;/path&gt;&lt;/g&gt;&lt;/svg&gt;-&lt;/span&gt;&lt;svg height=\"9.39034pt\" style=\"vertical-align:-3.42943pt\" version=\"1.1\" viewbox=\"-0.0498162 -5.96091 7.52435 9.39034\" width=\"7.52435pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,0,0)\"&gt;&lt;/path&gt;&lt;/g&gt;&lt;/svg&gt;-frames are constructed from a given &lt;span&gt;&lt;svg height=\"8.68572pt\" style=\"vertical-align:-0.0498209pt\" version=\"1.1\" viewbox=\"-0.0498162 -8.6359 9.95144 8.68572\" width=\"9.95144pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,0,0)\"&gt;&lt;use xlink:href=\"#g113-76\"&gt;&lt;/use&gt;&lt;/g&gt;&lt;/svg&gt;-&lt;/span&gt;&lt;svg height=\"9.39034pt\" style=\"vertical-align:-3.42943pt\" version=\"1.1\" viewbox=\"-0.0498162 -5.96091 7.52435 9.39034\" width=\"7.52435pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,0,0)\"&gt;&lt;use xlink:href=\"#g113-104\"&gt;&lt;/use&gt;&lt;/g&gt;&lt;/svg&gt;-frame by scaling the elements of the &lt;span&gt;&lt;svg height=\"8.68572pt\" style=\"vertical-align:-0.0498209pt\" version=\"1.1\" viewbox=\"-0.0498162 -8.6359 9.95144 8.68572\" width=\"9.95144pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,0,0)\"&gt;&lt;use xlink:href=\"#g113-76\"&gt;&lt;/use&gt;&lt;/g&gt;&lt;/svg&gt;-&lt;/span&gt;&lt;svg height=\"9.39034pt\" style=\"vertical-align:-3.42943pt\" version=\"1.1\" viewbox=\"-0.0498162 -5.96091 7.52435 9.39034\" width=\"7.52435pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,0,0)\"&gt;&lt;use xlink:href=\"#g113-104\"&gt;&lt;/use&gt;&lt;/g&gt;&lt;/svg&gt;-frame with the help of diagonal operators, and these frames are named scalable &lt;span&gt;&lt;svg height=\"8.68572pt\" style=\"vertical-align:-0.0498209pt\" version=\"1.1\" viewbox=\"-0.0498162 -8.6359 9.95144 8.68572\" width=\"9.95144pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,0,0)\"&gt;&lt;use xlink:href=\"#g113-76\"&gt;&lt;/use&gt;&lt;/g&gt;&lt;/svg&gt;-&lt;/span&gt;&lt;svg height=\"9.39034pt\" style=\"vertical-align:-3.42943pt\" version=\"1.1\" viewbox=\"-0.0498162 -5.96091 7.52435 9.39034\" width=\"7.52435pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,0,0)\"&gt;&lt;use xlink:href=\"#g113-104\"&gt;&lt;/use&gt;&lt;/g&gt;&lt;/svg&gt;-frames. Also, we prove some properties of scalable &lt;span&gt;&lt;svg height=\"8.68572pt\" style=\"vertical-align:-0.0498209pt\" version=\"1.1\" viewbox=\"-0.0498162 -8.6359 9.95144 8.68572\" width=\"9.95144pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,0,0)\"&gt;&lt;use xlink:href=\"#g113-76\"&gt;&lt;/use&gt;&lt;/g&gt;&lt;/svg&gt;-&lt;/span&gt;&lt;svg height=\"9.39034pt\" style=\"vertical","PeriodicalId":15840,"journal":{"name":"Journal of Function Spaces","volume":"27 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140600257","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Relative Uniform Convergence of Sequence of Functions Related to -Spaces Defined by Orlicz Functions 与奥立兹函数定义的-空间相关的函数序列的相对均匀收敛性
IF 1.9 3区 数学
Journal of Function Spaces Pub Date : 2024-04-09 DOI: 10.1155/2024/6638662
Diksha Debbarma, Mustafa M. Mohammed, Binod Chandra Tripathy, Awad A. Bakery
{"title":"Relative Uniform Convergence of Sequence of Functions Related to -Spaces Defined by Orlicz Functions","authors":"Diksha Debbarma, Mustafa M. Mohammed, Binod Chandra Tripathy, Awad A. Bakery","doi":"10.1155/2024/6638662","DOIUrl":"https://doi.org/10.1155/2024/6638662","url":null,"abstract":"The Orlicz function-defined sequence spaces of functions by relative uniform convergence of sequences related to <span><svg height=\"10.2124pt\" style=\"vertical-align:-3.42943pt\" version=\"1.1\" viewbox=\"-0.0498162 -6.78297 7.83752 10.2124\" width=\"7.83752pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"></path></g></svg>-</span>absolutely summable spaces are a new concept that is introduced in this article. We look at its various attributes, such as solidity, completeness, and symmetry. We also look at a few insertional connections involving these spaces.","PeriodicalId":15840,"journal":{"name":"Journal of Function Spaces","volume":"73 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140600256","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Modified Iterative Approach for Fixed Point Problem in Hadamard Spaces 哈达玛德空间定点问题的修正迭代法
IF 1.9 3区 数学
Journal of Function Spaces Pub Date : 2024-03-18 DOI: 10.1155/2024/5583824
Asifa Tassaddiq, Wakeel Ahmed, Shahid Zaman, Asma Raza, Usman Islam, Kwara Nantomah
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引用次数: 0
Norms of Composition Operators from Weighted Harmonic Bloch Spaces into Weighted Harmonic Zygmund Spaces 从加权谐波布洛赫空间到加权谐波齐格蒙空间的合成算子规范
IF 1.9 3区 数学
Journal of Function Spaces Pub Date : 2024-03-16 DOI: 10.1155/2024/5581805
Munirah Aljuaid, M. A. Bakhit
{"title":"Norms of Composition Operators from Weighted Harmonic Bloch Spaces into Weighted Harmonic Zygmund Spaces","authors":"Munirah Aljuaid, M. A. Bakhit","doi":"10.1155/2024/5581805","DOIUrl":"https://doi.org/10.1155/2024/5581805","url":null,"abstract":"This article examines the norms of composition operators from the weighted harmonic Bloch space &lt;span&gt;&lt;svg height=\"16.0921pt\" style=\"vertical-align:-3.8339pt\" version=\"1.1\" viewbox=\"-0.0498162 -12.2582 23.549 16.0921\" width=\"23.549pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,0,0)\"&gt;&lt;/path&gt;&lt;/g&gt;&lt;g transform=\"matrix(.0091,0,0,-0.0091,12.35,-5.741)\"&gt;&lt;/path&gt;&lt;/g&gt;&lt;g transform=\"matrix(.0091,0,0,-0.0091,12.35,3.784)\"&gt;&lt;/path&gt;&lt;/g&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,20.585,0)\"&gt;&lt;/path&gt;&lt;/g&gt;&lt;/svg&gt;&lt;span&gt;&lt;/span&gt;&lt;svg height=\"16.0921pt\" style=\"vertical-align:-3.8339pt\" version=\"1.1\" viewbox=\"25.678183800000003 -12.2582 22.001 16.0921\" width=\"22.001pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,25.728,0)\"&gt;&lt;/path&gt;&lt;/g&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,30.226,0)\"&gt;&lt;/path&gt;&lt;/g&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,40.098,0)\"&gt;&lt;/path&gt;&lt;/g&gt;&lt;/svg&gt;&lt;span&gt;&lt;/span&gt;&lt;svg height=\"16.0921pt\" style=\"vertical-align:-3.8339pt\" version=\"1.1\" viewbox=\"51.3101838 -12.2582 18.437 16.0921\" width=\"18.437pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,51.36,0)\"&gt;&lt;/path&gt;&lt;/g&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,62.166,0)\"&gt;&lt;use xlink:href=\"#g117-91\"&gt;&lt;/use&gt;&lt;/g&gt;&lt;/svg&gt;&lt;span&gt;&lt;/span&gt;&lt;svg height=\"16.0921pt\" style=\"vertical-align:-3.8339pt\" version=\"1.1\" viewbox=\"73.3791838 -12.2582 18.108 16.0921\" width=\"18.108pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,73.429,0)\"&gt;&lt;/path&gt;&lt;/g&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,86.689,0)\"&gt;&lt;/path&gt;&lt;/g&gt;&lt;/svg&gt;&lt;/span&gt; to the weighted harmonic Zygmund space &lt;span&gt;&lt;svg height=\"17.5066pt\" style=\"vertical-align:-4.091pt\" version=\"1.1\" viewbox=\"-0.0498162 -13.4156 23.315 17.5066\" width=\"23.315pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,0,0)\"&gt;&lt;/path&gt;&lt;/g&gt;&lt;g transform=\"matrix(.0091,0,0,-0.0091,12.116,-6.899)\"&gt;&lt;/path&gt;&lt;/g&gt;&lt;g transform=\"matrix(.0091,0,0,-0.0091,12.116,4.041)\"&gt;&lt;use xlink:href=\"#g50-73\"&gt;&lt;/use&gt;&lt;/g&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,20.351,0)\"&gt;&lt;use xlink:href=\"#g113-45\"&gt;&lt;/use&gt;&lt;/g&gt;&lt;/svg&gt;&lt;span&gt;&lt;/span&gt;&lt;svg height=\"17.5066pt\" style=\"vertical-align:-4.091pt\" version=\"1.1\" viewbox=\"25.4441838 -13.4156 22.001 17.5066\" width=\"22.001pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,25.494,0)\"&gt;&lt;use xlink:href=\"#g113-41\"&gt;&lt;/use&gt;&lt;/g&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,29.992,0)\"&gt;&lt;use xlink:href=\"#g113-49\"&gt;&lt;/use&gt;&lt;/g&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,39.864,0)\"&gt;&lt;use xlink:href=\"#g117-91\"&gt;&lt;/use&gt;&lt;/g&gt;&lt;/svg&gt;&lt;span&gt;&lt;/span&gt;&lt;svg height=\"17.5066pt\" style=\"vertical-align:-4.091pt\" version=\"1.1\" viewbox=\"51.0771838 -13.4156 18.817 17.5066\" width=\"18.817pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"&gt;&lt;g transform=\"matrix(.013,0,0,-0","PeriodicalId":15840,"journal":{"name":"Journal of Function Spaces","volume":"69 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140154178","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Existence, Decay, and Blow-up of Solutions for a Weighted -Biharmonic Equation with Nonlinear Damping and Source Terms 带有非线性阻尼和源项的加权毕谐方程的存在性、衰减和炸裂解
IF 1.9 3区 数学
Journal of Function Spaces Pub Date : 2024-03-07 DOI: 10.1155/2024/5866792
Ayşe Fidan, Erhan Pişkin, Ercan Çelik
{"title":"Existence, Decay, and Blow-up of Solutions for a Weighted -Biharmonic Equation with Nonlinear Damping and Source Terms","authors":"Ayşe Fidan, Erhan Pişkin, Ercan Çelik","doi":"10.1155/2024/5866792","DOIUrl":"https://doi.org/10.1155/2024/5866792","url":null,"abstract":"In this paper, we consider the weighted <span><svg height=\"6.1673pt\" style=\"vertical-align:-0.2063904pt\" version=\"1.1\" viewbox=\"-0.0498162 -5.96091 10.3951 6.1673\" width=\"10.3951pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g113-110\"></use></g></svg>-</span>biharmonic equation with nonlinear damping and source terms. We proved the global existence of solutions. Later, the decay of the energy is established by using Nakao’s inequality. Finally, we proved the blow-up of solutions in finite time.","PeriodicalId":15840,"journal":{"name":"Journal of Function Spaces","volume":"32 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140053847","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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