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Uniform Attractor for a Non-autonomous Reaction-Diffusion Equation with Less Regular External Force 非自治反应扩散方程的均匀吸引子
International Journal of Mathematical Analysis Pub Date : 1900-01-01 DOI: 10.12988/IJMA.2013.13080
Xinguang Yang, Chang-An Tian
{"title":"Uniform Attractor for a Non-autonomous Reaction-Diffusion Equation with Less Regular External Force","authors":"Xinguang Yang, Chang-An Tian","doi":"10.12988/IJMA.2013.13080","DOIUrl":"https://doi.org/10.12988/IJMA.2013.13080","url":null,"abstract":"In this paper, under suitable assumptions on the external force f and initial data uτ , we obtain the existence of (weak and strong) uniform attractor for a non-autonomous reaction-diffusion equations by establishing the asymptotical compactness for the semi-processes. Mathematics Subject Classification: 35Q35; 76D03","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"7 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":"128622757","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
Exact Geometric Solutions and Approximating Analytic Solutions of Functional Equations 函数方程的精确几何解与近似解析解
International Journal of Mathematical Analysis Pub Date : 1900-01-01 DOI: 10.12988/IJMA.2013.36143
Octav Olteanu
{"title":"Exact Geometric Solutions and Approximating Analytic Solutions of Functional Equations","authors":"Octav Olteanu","doi":"10.12988/IJMA.2013.36143","DOIUrl":"https://doi.org/10.12988/IJMA.2013.36143","url":null,"abstract":"We recall some of our earlier results on the construction of a mapping defined implicitly, without using the implicit function theorem. Then we mention the analyticity of the function defined implicitly, under certain hypothesis. We deduce applications to a concrete functional and operatorial equation. Finally, an approximating formula for the analytic form of the solution is considered.","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"4 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":"128983119","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
The evaluation of integrals involving sine and cosine on a simple closed path 在一个简单的闭合路径上计算包含正弦和余弦的积分
International Journal of Mathematical Analysis Pub Date : 1900-01-01 DOI: 10.12988/IJMA.2015.5396
H. Chae, Hwajoon Kim
{"title":"The evaluation of integrals involving sine and cosine on a simple closed path","authors":"H. Chae, Hwajoon Kim","doi":"10.12988/IJMA.2015.5396","DOIUrl":"https://doi.org/10.12988/IJMA.2015.5396","url":null,"abstract":"Residues are used in an neat and practical integration method. In this article, we have checked the evaluation of integrals involving sine and cosine on a simple closed path, and the proposed idea results from residue integration in complex variables. Mathematics Subject Classification: 30A99","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"9 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":"128984253","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: 2
On the probability that a group element fixes a set and its generalized conjugacy class graph 群元素固定集合的概率及其广义共轭类图
International Journal of Mathematical Analysis Pub Date : 1900-01-01 DOI: 10.12988/IJMA.2015.411336
Mustafa Anis El-Sanfaz, N. Sarmin, S. Omer
{"title":"On the probability that a group element fixes a set and its generalized conjugacy class graph","authors":"Mustafa Anis El-Sanfaz, N. Sarmin, S. Omer","doi":"10.12988/IJMA.2015.411336","DOIUrl":"https://doi.org/10.12988/IJMA.2015.411336","url":null,"abstract":"Let G be a metacyclic 2-group. The probability that two random elements commute in G is the quotient of the number of commuting elements by the square of the order of G. This concept has been generalized and extended by several authors. One of these extensions is the probability that an element of a group fixes a set, where the set consists of all subsets of commuting elements of G of size two that are in the form (a,b), where a and b commute and lcm(|a|, |b|) = 2. In this paper, the probability that a group element fixes a set is found for metacyclic 2-groups of negative type of nilpotency class at least two. The results obtained on the size of the orbits are then applied to graph theory, more precisely to generalized conjugacy class graph.","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"9 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":"129030912","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
An extension of Brosowski-Meinardus theorem in modular spaces Brosowski-Meinardus定理在模空间中的推广
International Journal of Mathematical Analysis Pub Date : 1900-01-01 DOI: 10.12988/IJMA.2017.77101
S. Abed, Karrar Emad AbdulSada
{"title":"An extension of Brosowski-Meinardus theorem in modular spaces","authors":"S. Abed, Karrar Emad AbdulSada","doi":"10.12988/IJMA.2017.77101","DOIUrl":"https://doi.org/10.12988/IJMA.2017.77101","url":null,"abstract":"We get a generalization of Dotson's fixed point theorem for non-expansive mappings on star-shaped subsets and then, in the setting of modular spaces, use it to prove a theorem of Brosowski − Meinardus type on invariant approximation.","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","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":"129032614","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
Stability of eigenvalues of a fourth order partial differential equation 一类四阶偏微分方程特征值的稳定性
International Journal of Mathematical Analysis Pub Date : 1900-01-01 DOI: 10.12988/IJMA.2019.9317
Ibtissam Brahmi, A. E. Khalil, A. Touzani
{"title":"Stability of eigenvalues of a fourth order partial differential equation","authors":"Ibtissam Brahmi, A. E. Khalil, A. Touzani","doi":"10.12988/IJMA.2019.9317","DOIUrl":"https://doi.org/10.12988/IJMA.2019.9317","url":null,"abstract":"","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"82 6 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":"129116157","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
Common fixed points for compatible mappings of types in multiplicative metric spaces 乘性度量空间中类型的兼容映射的公共不动点
International Journal of Mathematical Analysis Pub Date : 1900-01-01 DOI: 10.12988/IJMA.2015.53104
S. Kang, Parveen Kumar, Sanjay Kumar, B. Lee
{"title":"Common fixed points for compatible mappings of types in multiplicative metric spaces","authors":"S. Kang, Parveen Kumar, Sanjay Kumar, B. Lee","doi":"10.12988/IJMA.2015.53104","DOIUrl":"https://doi.org/10.12988/IJMA.2015.53104","url":null,"abstract":"In this paper, we introduce the notions of compatible mappings of type (R), of type (K) and of type (E) in multiplicative metric spaces and prove some common fixed point theorems for these mappings. Mathematics Subject Classification: 47H10, 54H25","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"9 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":"129275283","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: 10
On the finite sums of reciprocal Lucas numbers 关于互易卢卡斯数的有限和
International Journal of Mathematical Analysis Pub Date : 1900-01-01 DOI: 10.12988/IJMA.2017.7575
Y. Choo
{"title":"On the finite sums of reciprocal Lucas numbers","authors":"Y. Choo","doi":"10.12988/IJMA.2017.7575","DOIUrl":"https://doi.org/10.12988/IJMA.2017.7575","url":null,"abstract":"","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"56 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":"124635193","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
Coupled Integral Equations for Uniformly Loaded Rectangular Plates Resting on Unilateral Supports 单边支承均匀加载矩形板的耦合积分方程
International Journal of Mathematical Analysis Pub Date : 1900-01-01 DOI: 10.12988/IJMA.2013.13082
P. Kongtong, D. Sukawat
{"title":"Coupled Integral Equations for Uniformly Loaded Rectangular Plates Resting on Unilateral Supports","authors":"P. Kongtong, D. Sukawat","doi":"10.12988/IJMA.2013.13082","DOIUrl":"https://doi.org/10.12988/IJMA.2013.13082","url":null,"abstract":"The present paper deals with the integral equations formulation through the method of finite Hankel integral transform techniques for solving the mixed boundary value problem of unilaterally supported rectangular plates loaded by uniformly distributed load. Due to the absent concentrated corner forces at all plate corners, the occurrence of mixed boundary conditions between a plate and the supports can be reduced from the coupled dual-series equations that resulted in using the Levy’s approach for the plate deflection function to a set of two coupled integral equations of Fredholm-type. The highlight of problem is that the analyticalformulation explicitly considers the nature of the inverse-square-root shear singularities at the ends of unilateral supports in the plate loaded state.","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"91 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":"129610617","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: 7
Viscosity approximations for nonexpansive mappings with Meir-Keeler contractions in CAT(0) spaces CAT(0)空间中具有Meir-Keeler收缩的非膨胀映射的粘度近似
International Journal of Mathematical Analysis Pub Date : 1900-01-01 DOI: 10.12988/ijma.2016.510255
P. Preechasilp
{"title":"Viscosity approximations for nonexpansive mappings with Meir-Keeler contractions in CAT(0) spaces","authors":"P. Preechasilp","doi":"10.12988/ijma.2016.510255","DOIUrl":"https://doi.org/10.12988/ijma.2016.510255","url":null,"abstract":"In this paper, we consider the Moudafi’s viscosity approximations with generalized contractions for nonexpansive mappings in a complete CAT(0) space. The results presented in this paper mainly extended the corresponding results in literature. Mathematics Subject Classification: 47H09, 47H10","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"10 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":"129884457","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
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