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Taiwanese Journal of Mathematics最新文献

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Analysis and Approximation of Hemivariational Inequality for a Frictional Thermo-electro-visco-elastic Contact Problem with Damage 含损伤的热电粘弹性摩擦接触问题半变分不等式的分析与逼近
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.11650/tjm/220704
Z. Faiz, O. Baiz, H. Benaissa, D. E. Moutawakil
{"title":"Analysis and Approximation of Hemivariational Inequality for a Frictional Thermo-electro-visco-elastic Contact Problem with Damage","authors":"Z. Faiz, O. Baiz, H. Benaissa, D. E. Moutawakil","doi":"10.11650/tjm/220704","DOIUrl":"https://doi.org/10.11650/tjm/220704","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45526985","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
The $L^p$-$L^q$ Boundedness and Compactness of Bergman Type Operators Bergman型算子的$L^p$-$L^q$有界性和紧性
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.11650/tjm/220101
Lijia Ding, Kai Wang
{"title":"The $L^p$-$L^q$ Boundedness and Compactness of Bergman Type Operators","authors":"Lijia Ding, Kai Wang","doi":"10.11650/tjm/220101","DOIUrl":"https://doi.org/10.11650/tjm/220101","url":null,"abstract":". We investigate Bergman type operators on the complex unit ball, which are singular integral operators induced by the modified Bergman kernel. We consider the L p - L q boundedness and compactness of Bergman type operators. The results of boundedness can be viewed as the Hardy–Littlewood–Sobolev (HLS) type theorem in the case unit ball. We also give some sharp norm estimates of Bergman type operators which in fact gives the upper bounds of the optimal constants in the HLS type inequality on the unit ball. Moreover, a trace formula is given.","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45572066","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 6
Reconstructing the Initial State of the Linear System and Estimating its Error in Discretization 线性系统的初始状态重构及其离散化误差估计
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.11650/tjm/221105
Ruijing Wang, Weisong Xie
{"title":"Reconstructing the Initial State of the Linear System and Estimating its Error in Discretization","authors":"Ruijing Wang, Weisong Xie","doi":"10.11650/tjm/221105","DOIUrl":"https://doi.org/10.11650/tjm/221105","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42820479","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Ground States of Nonlocal Fractional Schrödinger Equations with Potentials Well 具有势阱的非局部分数阶Schrödinger方程的基态
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.11650/tjm/220602
Ye Xue, Yunlan Wei
{"title":"Ground States of Nonlocal Fractional Schrödinger Equations with Potentials Well","authors":"Ye Xue, Yunlan Wei","doi":"10.11650/tjm/220602","DOIUrl":"https://doi.org/10.11650/tjm/220602","url":null,"abstract":"Inspired by Alves and Souto [2], we investigate the existence of nontrivial solutions to a class of fractional Schrödinger equations with potentials well. Taking the superlinear nonlinearities into consideration, we obtain the existence of nontrivial solutions by loosing monotonicity. Furthermore, a ground state solution is established.","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44396469","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Canonical Comultiplication and Double Centraliser Property 正则乘法与双中心器性质
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.11650/tjm/220903
Nan Gao, Jing Ma, Juxia Zhang
{"title":"Canonical Comultiplication and Double Centraliser Property","authors":"Nan Gao, Jing Ma, Juxia Zhang","doi":"10.11650/tjm/220903","DOIUrl":"https://doi.org/10.11650/tjm/220903","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47802372","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Mean Values of Derivatives of $L$-functions for Cyclotomic Characters in Function Fields 函数场中环切特征的L函数导数的均值
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.11650/tjm/220701
Jungyun Lee, Yoonjin Lee
{"title":"Mean Values of Derivatives of $L$-functions for Cyclotomic Characters in Function Fields","authors":"Jungyun Lee, Yoonjin Lee","doi":"10.11650/tjm/220701","DOIUrl":"https://doi.org/10.11650/tjm/220701","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47663511","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
On the Reconstruction of Convection Coefficient in a Semilinear Anomalous Diffusion System 半线性异常扩散系统对流系数的重建
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.11650/tjm/220301
Liangliang Sun, Maoli Chang
{"title":"On the Reconstruction of Convection Coefficient in a Semilinear Anomalous Diffusion System","authors":"Liangliang Sun, Maoli Chang","doi":"10.11650/tjm/220301","DOIUrl":"https://doi.org/10.11650/tjm/220301","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46060855","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Generalized Fractional Integral Operators Based on Symmetric Markovian Semigroups with Application to the Heisenberg Group 基于对称马尔可夫半群的广义分数积分算子及其在Heisenberg群中的应用
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.11650/tjm/220904
Kohei Amagai, E. Nakai, Gaku Sadasue
{"title":"Generalized Fractional Integral Operators Based on Symmetric Markovian Semigroups with Application to the Heisenberg Group","authors":"Kohei Amagai, E. Nakai, Gaku Sadasue","doi":"10.11650/tjm/220904","DOIUrl":"https://doi.org/10.11650/tjm/220904","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45500121","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Novel Results on Persistence and Attractivity of Delayed Nicholson's Blowflies System with Patch Structure 具有斑块结构的延迟尼克尔森苍蝇系统的持久性和吸引力的新结果
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.11650/tjm/220803
Weiping Fan, Jian Zhang
{"title":"Novel Results on Persistence and Attractivity of Delayed Nicholson's Blowflies System with Patch Structure","authors":"Weiping Fan, Jian Zhang","doi":"10.11650/tjm/220803","DOIUrl":"https://doi.org/10.11650/tjm/220803","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42385018","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 1
Directional Differentiability, Coexhausters, Codifferentials and Polyhedral DC Functions 方向可微性，协微分，协微分和多面体DC函数
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2021-11-25 DOI: 10.11650/tjm/221201
M. Abbasov
{"title":"Directional Differentiability, Coexhausters, Codifferentials and Polyhedral DC Functions","authors":"M. Abbasov","doi":"10.11650/tjm/221201","DOIUrl":"https://doi.org/10.11650/tjm/221201","url":null,"abstract":"Codifferentials and coexhausters are used to describe nonhomogeneous approximations of a nonsmooth function. Despite the fact that coexhausters are modern generalizations of codifferentials, the theories of these two concepts continue to develop simultaneously. Moreover, codifferentials and coexhausters are strongly connected with DC functions. In this paper we trace analogies between all these objects, and prove the equivalence of the boundedness and optimality conditions described in terms of these notions. This allows one to extend the results derived in terms of one object to the problems stated via the other one. Another contribution of this paper is the study of connection between nonhomogeneous approximations and directional derivatives and formulate optimality conditions in terms of nonhomogeneous approximations. Introduction Among the variety of approaches of nonsmooth analysis [1] the method of quasidifferential stands out due to its constructiveness. One important advantage of this approach is that all the tools and methods can be built and used not only theoretically but also in practical problems. The approach goes back to the early 80-th when Demyanov, Rubinov and Polyakova proposed and studied the notion of quasidifferentials [2–5]. Quasidifferentials are pairs of convex compact sets that enable one to represent the directional derivative of a function at a point in a form of sum of maximum and minimum of a linear functions. Quasidifferentials enjoy full calculus, that grants the calculation of quasidifferentials for a rich variety of functions. Such functions are also called quasidifferentiable. Polyakova and Demyanov derived optimality conditions in terms of these objects and also showed how to find the directions of steepest descent and ascent when these conditions are not satisfied. This paved a way for constructing new","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48270162","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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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