Pub Date : 2024-09-17DOI: 10.1080/10236198.2024.2404419
Ronald Mickens, Talitha Washington
Sobolev type PDEs are used to model a broad range of physical phenomena. However, their discretizations by means of finite differences have generally been implicit schemes. We demonstrate that expl...
{"title":"A note on a NSFD discretization of a Sobolev type PDE","authors":"Ronald Mickens, Talitha Washington","doi":"10.1080/10236198.2024.2404419","DOIUrl":"https://doi.org/10.1080/10236198.2024.2404419","url":null,"abstract":"Sobolev type PDEs are used to model a broad range of physical phenomena. However, their discretizations by means of finite differences have generally been implicit schemes. We demonstrate that expl...","PeriodicalId":15616,"journal":{"name":"Journal of Difference Equations and Applications","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142264709","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}
Pub Date : 2024-09-03DOI: 10.1080/10236198.2024.2397577
Bhawna Verma, Muslim Malik
In this paper, we study the boundary controllability of the discrete-time control system in Banach spaces. The aim is to establish sufficient conditions for the existence and uniqueness of solution...
本文研究巴拿赫空间中离散时间控制系统的边界可控性。目的是建立解的存在性和唯一性的充分条件...
{"title":"Controllability results of discrete boundary control system in Banach spaces","authors":"Bhawna Verma, Muslim Malik","doi":"10.1080/10236198.2024.2397577","DOIUrl":"https://doi.org/10.1080/10236198.2024.2397577","url":null,"abstract":"In this paper, we study the boundary controllability of the discrete-time control system in Banach spaces. The aim is to establish sufficient conditions for the existence and uniqueness of solution...","PeriodicalId":15616,"journal":{"name":"Journal of Difference Equations and Applications","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142269469","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}
Pub Date : 2024-09-02DOI: 10.1080/10236198.2024.2398661
Jiao Yang, Ercai Chen, Xiaoyao Zhou
In this paper, we introduce nonlinear weighted topological pressure and establish variational principle for nonlinear weighted topological pressure under the condition that (π,E) has an abundance o...
本文介绍了非线性加权拓扑压力，并在(π,E)具有丰度的条件下建立了非线性加权拓扑压力的变分原理。
{"title":"Variational principle for nonlinear weighted topological pressure","authors":"Jiao Yang, Ercai Chen, Xiaoyao Zhou","doi":"10.1080/10236198.2024.2398661","DOIUrl":"https://doi.org/10.1080/10236198.2024.2398661","url":null,"abstract":"In this paper, we introduce nonlinear weighted topological pressure and establish variational principle for nonlinear weighted topological pressure under the condition that (π,E) has an abundance o...","PeriodicalId":15616,"journal":{"name":"Journal of Difference Equations and Applications","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142264710","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}
Pub Date : 2024-08-14DOI: 10.1080/10236198.2024.2388733
Fumei Ye
In this paper, we are concerned with the unilateral global bifurcation results for the Minkowski-curvature discrete problem {−∇[ϕ(Δu(t))]=λa(t)u(t)+f(t,u(t),λ),t∈[1,T]Z,u(0)=u(T+1)=0, where λ∈R is...
{"title":"Unilateral global structure for discrete Dirichlet problem with Minkowski-curvature operator","authors":"Fumei Ye","doi":"10.1080/10236198.2024.2388733","DOIUrl":"https://doi.org/10.1080/10236198.2024.2388733","url":null,"abstract":"In this paper, we are concerned with the unilateral global bifurcation results for the Minkowski-curvature discrete problem {−∇[ϕ(Δu(t))]=λa(t)u(t)+f(t,u(t),λ),t∈[1,T]Z,u(0)=u(T+1)=0, where λ∈R is...","PeriodicalId":15616,"journal":{"name":"Journal of Difference Equations and Applications","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142190963","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}
Pub Date : 2024-08-12DOI: 10.1080/10236198.2024.2388780
Guang-hua Gao, Biao Ge, Yanping Chen
The main scope of this paper is to develop and analyse three-level linearized difference schemes for solving the classical Burgers-Fisher equation. For the Dirichlet boundary value problem, the fir...
{"title":"Derivation and error analysis of three-level linearized difference schemes for solving the Burgers-Fisher equation","authors":"Guang-hua Gao, Biao Ge, Yanping Chen","doi":"10.1080/10236198.2024.2388780","DOIUrl":"https://doi.org/10.1080/10236198.2024.2388780","url":null,"abstract":"The main scope of this paper is to develop and analyse three-level linearized difference schemes for solving the classical Burgers-Fisher equation. For the Dirichlet boundary value problem, the fir...","PeriodicalId":15616,"journal":{"name":"Journal of Difference Equations and Applications","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142190965","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}
Pub Date : 2024-08-09DOI: 10.1080/10236198.2024.2390040
Yarong Wei
The bivariate difference field provides an algebraic framework to study sequences satisfying a recurrence of order two, and it can be used to transform summations involving such sequences into firs...
二元差分域为研究满足二阶递推的序列提供了一个代数框架，并可用于将涉及此类序列的求和转化为二阶递推。
{"title":"Polynomial solutions to the first order difference equations in the bivariate difference field","authors":"Yarong Wei","doi":"10.1080/10236198.2024.2390040","DOIUrl":"https://doi.org/10.1080/10236198.2024.2390040","url":null,"abstract":"The bivariate difference field provides an algebraic framework to study sequences satisfying a recurrence of order two, and it can be used to transform summations involving such sequences into firs...","PeriodicalId":15616,"journal":{"name":"Journal of Difference Equations and Applications","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141945801","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}
Pub Date : 2024-08-09DOI: 10.1080/10236198.2024.2387621
J. Deane, Guido Gentile
{"title":"A diluted version of the problem of the existence of the Hofstadter sequence","authors":"J. Deane, Guido Gentile","doi":"10.1080/10236198.2024.2387621","DOIUrl":"https://doi.org/10.1080/10236198.2024.2387621","url":null,"abstract":"","PeriodicalId":15616,"journal":{"name":"Journal of Difference Equations and Applications","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141923064","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}
Pub Date : 2024-08-07DOI: 10.1080/10236198.2024.2387617
Kanji Inui, Hiroki Sumi
We consider a family of conformal iterated function systems (for short, CIFSs) of generalized complex continued fractions. Note that in our previous paper we showed that the proper-dimensional Haus...
{"title":"Packing measure and dimension of the limit sets of IFSs of generalized complex continued fractions","authors":"Kanji Inui, Hiroki Sumi","doi":"10.1080/10236198.2024.2387617","DOIUrl":"https://doi.org/10.1080/10236198.2024.2387617","url":null,"abstract":"We consider a family of conformal iterated function systems (for short, CIFSs) of generalized complex continued fractions. Note that in our previous paper we showed that the proper-dimensional Haus...","PeriodicalId":15616,"journal":{"name":"Journal of Difference Equations and Applications","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141969409","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}
Pub Date : 2024-08-07DOI: 10.1080/10236198.2024.2388746
Kwang-Wu Chen
By computing the higher-order derivatives of some well-known hypergeometric summation theorems, we evaluate many different infinite series containing generalized harmonic functions and central bino...
{"title":"Hypergeometric series and generalized harmonic numbers","authors":"Kwang-Wu Chen","doi":"10.1080/10236198.2024.2388746","DOIUrl":"https://doi.org/10.1080/10236198.2024.2388746","url":null,"abstract":"By computing the higher-order derivatives of some well-known hypergeometric summation theorems, we evaluate many different infinite series containing generalized harmonic functions and central bino...","PeriodicalId":15616,"journal":{"name":"Journal of Difference Equations and Applications","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141945802","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}
Pub Date : 2024-07-30DOI: 10.1080/10236198.2024.2384947
Iztok Banič, Goran Erceg, Judy Kennedy, Chris Mouron, Van Nall
We construct a mixing homeomorphism on both the Lelek fan and the Cantor fan. We also construct a family of uncountably many pairwise non-homeomorphic smooth (and non-smooth) fans that admit mixing...
我们在 Lelek 扇形和 Cantor 扇形上都构造了一个混合同构。我们还构造了不可计数的成对非同构光滑（和非光滑）扇形家族，它们允许混合...
{"title":"Chaos and mixing homeomorphisms on fans","authors":"Iztok Banič, Goran Erceg, Judy Kennedy, Chris Mouron, Van Nall","doi":"10.1080/10236198.2024.2384947","DOIUrl":"https://doi.org/10.1080/10236198.2024.2384947","url":null,"abstract":"We construct a mixing homeomorphism on both the Lelek fan and the Cantor fan. We also construct a family of uncountably many pairwise non-homeomorphic smooth (and non-smooth) fans that admit mixing...","PeriodicalId":15616,"journal":{"name":"Journal of Difference Equations and Applications","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141969410","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}
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