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Fast Growing Solutions to Linear Differential Equations with Entire Coefficients Having the Same ρφ-order 全系数同ρφ阶线性微分方程的快速增长解
Journal of Mathematics and Applications Pub Date : 1900-01-01 DOI: 10.7862/rf.2019.4
Benharrat Belaidi
{"title":"Fast Growing Solutions to Linear Differential Equations with Entire Coefficients Having the Same ρφ-order","authors":"Benharrat Belaidi","doi":"10.7862/rf.2019.4","DOIUrl":"https://doi.org/10.7862/rf.2019.4","url":null,"abstract":": This paper deals with the growth of solutions of a class of higher order linear differential equations when most coefficients A j ( z ) ( j = 0 , ..., k − 1) have the same ρ ϕ -order with each other. By using the concept of τ ϕ -type, we obtain some results which indicate growth estimate of every non-trivial entire solution of the above equations by the growth estimate of the coefficient A 0 ( z ) . We im-prove and generalize some recent results due to Chyzhykov-Semochko and the author.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133301550","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
About a class of analytic functions defined by Noor-Sǎlǎgean integral operator 关于一类由Noor-Sǎlǎgean积分算子定义的解析函数
Journal of Mathematics and Applications Pub Date : 1900-01-01 DOI: 10.7862/RF.2016.4
O. Engel, Y. L. Chung
{"title":"About a class of analytic functions defined by Noor-Sǎlǎgean integral operator","authors":"O. Engel, Y. L. Chung","doi":"10.7862/RF.2016.4","DOIUrl":"https://doi.org/10.7862/RF.2016.4","url":null,"abstract":"In this paper we intoduce a new integral operator as the convolution of the Noor and Sălăgean integral operators. With this integral operator we define the class CNS(α), where α ∈ [0, 1) and we study some properties of this class. AMS Subject Classification: 30C45.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132169873","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Existence and Uniqueness of Solutions for Nonlinear Katugampola Fractional Differential Equations 非线性Katugampola分数阶微分方程解的存在唯一性
Journal of Mathematics and Applications Pub Date : 1900-01-01 DOI: 10.7862/rf.2019.3
Bilal Basti, Y. Arioua, N. Benhamidouche
{"title":"Existence and Uniqueness of Solutions for Nonlinear Katugampola Fractional Differential Equations","authors":"Bilal Basti, Y. Arioua, N. Benhamidouche","doi":"10.7862/rf.2019.3","DOIUrl":"https://doi.org/10.7862/rf.2019.3","url":null,"abstract":"The present paper deals with the existence and uniqueness of solutions for a boundary value problem of nonlinear fractional differential equations with Katugampola fractional derivative. The main results are proved by means of Guo-Krasnoselskii and Banach fixed point theorems. For applications purposes, some examples are provided to demonstrate the usefulness of our main results. AMS Subject Classification: 34A08, 34A37.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133399380","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 12
Nonincreasing Solutions for Quadratic Integral Equations of Convolution Type 卷积型二次积分方程的非递增解
Journal of Mathematics and Applications Pub Date : 1900-01-01 DOI: 10.7862/rf.2019.6
W. El-Sayed, A. El-Mowla
{"title":"Nonincreasing Solutions for Quadratic Integral Equations of Convolution Type","authors":"W. El-Sayed, A. El-Mowla","doi":"10.7862/rf.2019.6","DOIUrl":"https://doi.org/10.7862/rf.2019.6","url":null,"abstract":"We study a nonlinear quadratic integral equation of Convolution type in the Banach space of real functions defined and continuous on a bounded and closed interval. By using a suitable measure of noncompactness, we show that the integral equation has monotonic solutions. AMS Subject Classification: 45G10, 47H30, 47N20.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116589177","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Involutory BE-algebras 对合BE-algebras
Journal of Mathematics and Applications Pub Date : 1900-01-01 DOI: 10.7862/RF.2014.2
R. Borzooei, A. Saeid, R. Ameri, A. Rezaei
{"title":"Involutory BE-algebras","authors":"R. Borzooei, A. Saeid, R. Ameri, A. Rezaei","doi":"10.7862/RF.2014.2","DOIUrl":"https://doi.org/10.7862/RF.2014.2","url":null,"abstract":"","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124856545","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
Majorization problems for classes of analytic functions 一类解析函数的多数化问题
Journal of Mathematics and Applications Pub Date : 1900-01-01 DOI: 10.7862/RF.2015.4
J. Dziok, G. Murugusundaramoorthy, T. Janani
{"title":"Majorization problems for classes of analytic functions","authors":"J. Dziok, G. Murugusundaramoorthy, T. Janani","doi":"10.7862/RF.2015.4","DOIUrl":"https://doi.org/10.7862/RF.2015.4","url":null,"abstract":"The main object of the present paper is to investigate problems of majorization for certain classes of analytic functions of com- plex order dened by an operator related to the modied Bessel functions of rst kind. These results are obtained by investigating appropriate class of admissible functions. Various known or new special cases of our results are-","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"2013 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132050745","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Supra b-compact and supra b-Lindelöf spaces 超b紧凑型和超b-Lindelöf空间
Journal of Mathematics and Applications Pub Date : 1900-01-01 DOI: 10.7862/RF.2013.7
Jamal M. Mustafa
{"title":"Supra b-compact and supra b-Lindelöf spaces","authors":"Jamal M. Mustafa","doi":"10.7862/RF.2013.7","DOIUrl":"https://doi.org/10.7862/RF.2013.7","url":null,"abstract":"In this paper we introduce the notion of supra b-compact spaces and investigate its several properties and characterizat eions. Also we introduce and study the notion of supra b-Lindelof spaces.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"119 1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128485197","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 18
Relative Order and Relative Type Oriented Growth Properties of Generalized Iterated Entire Functions 广义迭代整函数的相对序和面向相对类型的增长性质
Journal of Mathematics and Applications Pub Date : 1900-01-01 DOI: 10.7862/rf.2020.2
T. Biswas
{"title":"Relative Order and Relative Type Oriented Growth Properties of Generalized Iterated Entire Functions","authors":"T. Biswas","doi":"10.7862/rf.2020.2","DOIUrl":"https://doi.org/10.7862/rf.2020.2","url":null,"abstract":"The main aim of this paper is to study some growth properties of generalized iterated entire functions in the light of their relative orders, relative types and relative weak types. AMS Subject Classification: 30D20, 30D30, 30D35.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"128 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126877066","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On some differential sandwich theorems using an extended generalized S˘al˘agean operator and extended Ruscheweyh operator 利用扩展广义S × × × agean算子和扩展Ruscheweyh算子的一些微分夹层定理
Journal of Mathematics and Applications Pub Date : 1900-01-01 DOI: 10.7862/RF.2015.3
L. Andrei
{"title":"On some differential sandwich theorems using an extended generalized S˘al˘agean operator and extended Ruscheweyh operator","authors":"L. Andrei","doi":"10.7862/RF.2015.3","DOIUrl":"https://doi.org/10.7862/RF.2015.3","url":null,"abstract":"Abstract: In this work we define a new operator using the extended generalized Sălăgean operator and extended Ruscheweyh operator. Denote by DR λ the Hadamard product of the extended generalized Sălăgean operator D λ and extended Ruscheweyh operator R , given by DR λ : A ∗ ζ → A ∗ ζ , DR m,n λ f (z, ζ) = (D m λ ∗R ) f (z, ζ) and A∗nζ = {f ∈ H(U ×U), f(z, ζ) = z+an+1 (ζ) z + . . . , z ∈ U, ζ ∈ U} is the class of normalized analytic functions with A∗1ζ = A ∗ ζ . The purpose of this paper is to introduce sufficient conditions for strong differential subordination and strong differential superordination involving the operator DR m,n λ and also to obtain sandwich-type results.","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128514409","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Approximate controllability of the impulsive semilinear heat equation 脉冲半线性热方程的近似可控性
Journal of Mathematics and Applications Pub Date : 1900-01-01 DOI: 10.7862/RF.2015.8
H. Leiva, N. Merentes
{"title":"Approximate controllability of the impulsive semilinear heat equation","authors":"H. Leiva, N. Merentes","doi":"10.7862/RF.2015.8","DOIUrl":"https://doi.org/10.7862/RF.2015.8","url":null,"abstract":"","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121879184","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 21
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