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A Fixed Point Theorem for a Pair of Generalized Nonexpansive Mappings in Uniformly Convex Metric Spaces 一致凸度量空间中一对广义非扩张映射的不动点定理
IF 0.8 4区 数学
Journal of Mathematical Study Pub Date : 2022-06-01 DOI: 10.4208/jms.v55n4.22.06
Chao Wang null, H. Fan
{"title":"A Fixed Point Theorem for a Pair of Generalized Nonexpansive Mappings in Uniformly Convex Metric Spaces","authors":"Chao Wang null, H. Fan","doi":"10.4208/jms.v55n4.22.06","DOIUrl":"https://doi.org/10.4208/jms.v55n4.22.06","url":null,"abstract":"","PeriodicalId":43526,"journal":{"name":"Journal of Mathematical Study","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44335588","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
Optimal System and Invariant Solutions of the Hyperbolic Geometric Flow 双曲几何流的最优系统和不变解
IF 0.8 4区 数学
Journal of Mathematical Study Pub Date : 2022-06-01 DOI: 10.4208/jms.v55n3.22.04
Han Zhang null, Zenggui Wang
{"title":"Optimal System and Invariant Solutions of the Hyperbolic Geometric Flow","authors":"Han Zhang null, Zenggui Wang","doi":"10.4208/jms.v55n3.22.04","DOIUrl":"https://doi.org/10.4208/jms.v55n3.22.04","url":null,"abstract":". By analyzing Lie symmetric algebra of the hyperbolic geometric flow, the one-dimensional optimal system of the symmetries to the equation is obtained, and we use similarity reduction to find the reduced equation. By solving the reduced equations, the invariant solutions of the hyperbolic geometric flow are finally obtained.","PeriodicalId":43526,"journal":{"name":"Journal of Mathematical Study","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44750518","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
A Note on Obata Equations on Manifolds with Boundary 关于有边界流形上Obata方程的一个注记
IF 0.8 4区 数学
Journal of Mathematical Study Pub Date : 2022-06-01 DOI: 10.4208/jms.v55n3.22.02
Mijia Lai null, Hui Zhou
{"title":"A Note on Obata Equations on Manifolds with Boundary","authors":"Mijia Lai null, Hui Zhou","doi":"10.4208/jms.v55n3.22.02","DOIUrl":"https://doi.org/10.4208/jms.v55n3.22.02","url":null,"abstract":". We analyze complete manifolds with boundary which admit solutions to Obata type equations ∇ 2 f − f g = 0 and ∇ 2 f = g under various boundary conditions. Given the existence of interior critical points, such manifolds are domains in the hyperbolic space and the Euclidean space respectively.","PeriodicalId":43526,"journal":{"name":"Journal of Mathematical Study","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46562354","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
Monotone Iterative Technique for $S$-Asymptotically Periodic Problem of Evolution Equation with Delay 时滞发展方程$S$渐近周期问题的单调迭代技术
IF 0.8 4区 数学
Journal of Mathematical Study Pub Date : 2022-06-01 DOI: 10.4208/jms.v55n4.22.03
Qiang Li null, H. Qiao
{"title":"Monotone Iterative Technique for $S$-Asymptotically Periodic Problem of Evolution Equation with Delay","authors":"Qiang Li null, H. Qiao","doi":"10.4208/jms.v55n4.22.03","DOIUrl":"https://doi.org/10.4208/jms.v55n4.22.03","url":null,"abstract":"","PeriodicalId":43526,"journal":{"name":"Journal of Mathematical Study","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48506708","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 Value of a Two-Sided Real Swaption 双边实际交换的价值
IF 0.8 4区 数学
Journal of Mathematical Study Pub Date : 2022-06-01 DOI: 10.4208/jms.v55n3.22.06
Nengsheng Fang null, C. Liao
{"title":"The Value of a Two-Sided Real Swaption","authors":"Nengsheng Fang null, C. Liao","doi":"10.4208/jms.v55n3.22.06","DOIUrl":"https://doi.org/10.4208/jms.v55n3.22.06","url":null,"abstract":". In this paper we establish a mathematical model for two-sided matching swaption problems in real world. We find a necessary matching condition of the two-sided swaption and deduce analytical formulations of the swaptions in virtue of pricing kernel methods. Also we explore the optimal exercise boundary and properties of the swaptions for investment decision making.","PeriodicalId":43526,"journal":{"name":"Journal of Mathematical Study","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45493662","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
Equivalent Relations with the J. L. Lions Lemma in a Variable Exponent Sobolev Space and Their Applications 变指数Sobolev空间中与J.L.Lions引理的等价关系及其应用
IF 0.8 4区 数学
Journal of Mathematical Study Pub Date : 2022-06-01 DOI: 10.4208/jms.v55n3.22.05
J. Aramaki
{"title":"Equivalent Relations with the J. L. Lions Lemma in a Variable Exponent Sobolev Space and Their Applications","authors":"J. Aramaki","doi":"10.4208/jms.v55n3.22.05","DOIUrl":"https://doi.org/10.4208/jms.v55n3.22.05","url":null,"abstract":". We consider the equivalent conditions with W − m , p ( · ) -version of the J. L. Lions Lemma, where p ( · ) is a variable exponent satisfying some condition. As applications with m = 0, we first derive the Korn inequality and furthermore, we consider the relation to other fundamental results. One of the purpose of this paper is an application to the existence of a weak solution for the Maxwell-Stokes type problem.","PeriodicalId":43526,"journal":{"name":"Journal of Mathematical Study","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47580257","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
Zeros of Primitive Characters 原始字符的零
IF 0.8 4区 数学
Journal of Mathematical Study Pub Date : 2022-06-01 DOI: 10.4208/jms.v55n1.22.05
Wenyang Wang null, N. Du
{"title":"Zeros of Primitive Characters","authors":"Wenyang Wang null, N. Du","doi":"10.4208/jms.v55n1.22.05","DOIUrl":"https://doi.org/10.4208/jms.v55n1.22.05","url":null,"abstract":". Let G be a finite group. An irreducible character χ of G is said to be primitive if χ 6 = ϑ G for any character ϑ of a proper subgroup of G . In this paper, we consider about the zeros of primitive characters. Denote by Irr pri ( G ) the set of all irreducible primitive characters of G . We proved that if g ∈ G and the order of gG ′ in the factor group G / G ′ does not divide | Irr pri ( G ) | , then there exists ϕ ∈ Irr pri ( G ) such that ϕ ( g )= 0.","PeriodicalId":43526,"journal":{"name":"Journal of Mathematical Study","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48487177","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
Orthogonal Exponentials of Planar Self-Affine Measures with Four-Element Digit Set 平面自仿射测度的四元数字集正交指数
IF 0.8 4区 数学
Journal of Mathematical Study Pub Date : 2022-06-01 DOI: 10.4208/jms.v55n3.22.07
Hong Li
{"title":"Orthogonal Exponentials of Planar Self-Affine Measures with Four-Element Digit Set","authors":"Hong Li","doi":"10.4208/jms.v55n3.22.07","DOIUrl":"https://doi.org/10.4208/jms.v55n3.22.07","url":null,"abstract":". Let µ M , D be a self-affine measure generated by an expanding real matrix M = (cid:18) a e f b (cid:19) and the digit set D = { ( 0,0 ) t , ( 1,0 ) t , ( 0,1 ) t , ( 1,1 ) t } . In this paper, we con-sider that when does L 2 ( µ M , D ) admit an infinite orthogonal set of exponential functions? Moreover, we obtain that if e = f = 0 and a , b ∈{ pq , p , q ∈ 2 Z + 1 } , then there exist at most 4 mutually orthogonal exponential functions in L 2 ( µ M , D ) , and the number 4 is the best possible.","PeriodicalId":43526,"journal":{"name":"Journal of Mathematical Study","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43990058","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
Modified Legendre Rational Spectral Method for Burgers Equation on the Whole Line 全线上Burgers方程的修正Legendre有理谱法
IF 0.8 4区 数学
Journal of Mathematical Study Pub Date : 2022-06-01 DOI: 10.4208/jms.v55n4.22.05
Liutao Tian null, Yu-jian Jiao
{"title":"Modified Legendre Rational Spectral Method for Burgers Equation on the Whole Line","authors":"Liutao Tian null, Yu-jian Jiao","doi":"10.4208/jms.v55n4.22.05","DOIUrl":"https://doi.org/10.4208/jms.v55n4.22.05","url":null,"abstract":"","PeriodicalId":43526,"journal":{"name":"Journal of Mathematical Study","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48586904","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 a Coupled Cahn–Hilliard System for Copolymer/Homopolymer Mixtures 共聚物/均聚物混合物的耦合Cahn-Hilliard体系
IF 0.8 4区 数学
Journal of Mathematical Study Pub Date : 2022-01-01 DOI: 10.4208/jms.v55n1.22.02
Laurence Cherfil null, A. Miranville
{"title":"On a Coupled Cahn–Hilliard System for Copolymer/Homopolymer Mixtures","authors":"Laurence Cherfil null, A. Miranville","doi":"10.4208/jms.v55n1.22.02","DOIUrl":"https://doi.org/10.4208/jms.v55n1.22.02","url":null,"abstract":"","PeriodicalId":43526,"journal":{"name":"Journal of Mathematical Study","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70526741","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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