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Electronic Journal of Differential Equations最新文献

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Caratheodory periodic perturbations of degenerate systems 退化系统的周期性扰动
IF 0.8 4区 数学
Electronic Journal of Differential Equations Pub Date : 2024-07-09 DOI: 10.58997/ejde.2024.39
A. Calamai, M. Spadini
{"title":"Caratheodory periodic perturbations of degenerate systems","authors":"A. Calamai, M. Spadini","doi":"10.58997/ejde.2024.39","DOIUrl":"https://doi.org/10.58997/ejde.2024.39","url":null,"abstract":"We study the structure of the set of harmonic solutions to T-periodically  perturbed coupled differential equations on differentiable manifolds, where the  perturbation is allowed to be of Caratheodory-type regularity.  Employing degree-theoretic methods, we prove the existence of a noncompact connected  set of nontrivial T-periodic solutions that, in a sense, emanates from the set of zeros of the unperturbed vector field. The latter is assumed to be ''degenerate'': Meaning that, contrary to the usual assumptions on the leading vector field,  it is not required to be either trivial nor to have a compact set of zeros.  In fact, known results in the ``nondegenerate case can be recovered from our ones.  We also provide some illustrating examples of Lienard- and (phi)-Laplacian-type  perturbed equations.\u0000For more information see https://ejde.math.txstate.edu/Volumes/2024/39/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141666469","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 second order convergent difference scheme for the initial-boundary value problem of Rosenau-Burgers equation 罗森奥-伯格斯方程初界值问题的二阶收敛差分方案
IF 0.8 4区 数学
Electronic Journal of Differential Equations Pub Date : 2024-07-04 DOI: 10.58997/ejde.2024.38
Sitong Dong, Xin Zhang, Yuanfeng Jin
{"title":"A second order convergent difference scheme for the initial-boundary value problem of Rosenau-Burgers equation","authors":"Sitong Dong, Xin Zhang, Yuanfeng Jin","doi":"10.58997/ejde.2024.38","DOIUrl":"https://doi.org/10.58997/ejde.2024.38","url":null,"abstract":"We construct a two-level implicit nonlinear finite difference scheme for the initial boundary value problem of Rosenau-Burgers equation based on the method of order reduction. We discuss conservation, unique solvability, and convergence for the difference scheme. The new scheme is shown to be second-order convergent in time and space. Finally, numerical simulations illustrate our theoretical  analysis.\u0000For more information see https://ejde.math.txstate.edu/Volumes/2024/38/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141837607","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
Massera type theorems for abstract non-autonomous evolution equations 抽象非自治演化方程的 Massera 型定理
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2024-06-06 DOI: 10.58997/35
Lan-Ling Zheng, Hui-Sheng Ding
{"title":"Massera type theorems for abstract non-autonomous evolution equations","authors":"Lan-Ling Zheng, Hui-Sheng Ding","doi":"10.58997/35","DOIUrl":"https://doi.org/10.58997/35","url":null,"abstract":"We establish two fixed point theorems for affine maps in Banach spaces,  with weaker assumptions than those in the literature.  Then we establish some  Massera type results for  abstract linear evolution  equations without assuming the existence of  bounded solutions,  which is an indispensable condition in the classical Massera  theorem and in the earlier literature. As application, we present an existence result on periodic mild solutions to  abstract nonautonomous semilinear evolution equations. \u0000For more information see https://ejde.math.txstate.edu/Volumes/2024/35/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141376754","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
Existence of semi-nodal solutions for elliptic systems related to Gross-Pitaevskii equations 与格罗斯-皮塔耶夫斯基方程有关的椭圆系统半节点解的存在性
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2024-04-25 DOI: 10.58997/ejde.2024.32
Joao Pablo Pinheiro da Silva, Edcarlos Domingos da Silva
{"title":"Existence of semi-nodal solutions for elliptic systems related to Gross-Pitaevskii equations","authors":"Joao Pablo Pinheiro da Silva, Edcarlos Domingos da Silva","doi":"10.58997/ejde.2024.32","DOIUrl":"https://doi.org/10.58997/ejde.2024.32","url":null,"abstract":"In this work we consider existence of semi-nodal solutions, i.e., solutions of the form ((u, v)) with (u>0) and (v^pm:=max{0,pm v}notequiv0) for a class of elliptic systems related to the Gross-Pitaevskii equation. \u0000For more information see https://ejde.math.txstate.edu/Volumes/2024/32/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140656852","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
Nodal solutions for nonlinear Schrodinger systems 非线性薛定谔系统的节点解
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2024-04-24 DOI: 10.58997/ejde.2024.31
Xue Zhou, Xiangqing Liu
{"title":"Nodal solutions for nonlinear Schrodinger systems","authors":"Xue Zhou, Xiangqing Liu","doi":"10.58997/ejde.2024.31","DOIUrl":"https://doi.org/10.58997/ejde.2024.31","url":null,"abstract":"In this article we consider the nonlinear Schrodinger system $$displaylines{ - Delta u_j + lambda_j u_j = sum_{i=1}^k beta_{ij} u_i^2 u_j, quad hbox{in } Omega, cr u_j ( x ) = 0,quad hbox{on } partial Omega , ; j=1,ldots,k , }$$ where (Omegasubset mathbb{R}^N ) ((N=2,3)) is a bounded smooth domain, (lambda_j> 0), (j=1,ldots,k), (beta_{ij}) are constants satisfying (beta_{jj}>0), (beta_{ij}=beta_{ji}leq 0 ) for (1leq i< jleq k). The existence of sign-changing solutions is proved by the truncation method and the invariant sets of descending flow method. \u0000For more information see  https://ejde.math.txstate.edu/Volumes/2024/31/abstr.html \u0000 ","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140659417","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
Properties of the solutions to periodic conformable non-autonomous non-instantaneous impulsive differential equations 周期性顺应非自主非瞬时脉冲微分方程解的性质
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2024-04-15 DOI: 10.58997/ejde.2024.30
Yuanlin Ding, Kui Liu
{"title":"Properties of the solutions to periodic conformable non-autonomous non-instantaneous impulsive differential equations","authors":"Yuanlin Ding, Kui Liu","doi":"10.58997/ejde.2024.30","DOIUrl":"https://doi.org/10.58997/ejde.2024.30","url":null,"abstract":"In this article, we study properties of the solutions to periodic non-autonomous conformable non-instantaneous impulsive differential equations. We use a conformable Cauchy matrix and obtain some basic properties of the periodic solution to the homogeneous and non=homogeneous problems. We consider the periodicity of solutions to nonlinear problem via a fixed theorem.\u0000For more information see https://ejde.math.txstate.edu/Volumes/2024/30/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140701445","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
Normalized ground state of a mixed dispersion nonlinear Schrodinger equation with combined power-type nonlinearities 具有组合功率型非线性的混合分散非线性薛定谔方程的归一化基态
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2024-04-01 DOI: 10.58997/ejde.2024.29
Zhouji Ma, Xiaojun Chang, Zhaosheng Feng
{"title":"Normalized ground state of a mixed dispersion nonlinear Schrodinger equation with combined power-type nonlinearities","authors":"Zhouji Ma, Xiaojun Chang, Zhaosheng Feng","doi":"10.58997/ejde.2024.29","DOIUrl":"https://doi.org/10.58997/ejde.2024.29","url":null,"abstract":"We study the existence of normalized ground state solutions to a mixed dispersion fourth-order nonlinear Schrodinger equation with combined power-type nonlinearities. By analyzing the subadditivity of the ground state energy with respect to the prescribed mass, we employ a constrained minimization method to establish the existence of ground state that corresponds to a local minimum of the associated functional. Under certain conditions, by studying the monotonicity of ground state energy as the mass varies, we apply the constrained minimization arguments on the Nehari-Pohozaev manifold to prove the existence of normalized ground state solutions. \u0000For more information see https://ejde.math.txstate.edu/Volumes/2024/29/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140783380","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
Solutions of linear and non-linear partial differential equations by means of tensor product theory of Banach space 通过巴拿赫空间张量积理论求解线性和非线性偏微分方程
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2024-03-29 DOI: 10.58997/ejde.2024.28
W. Alshanti
{"title":"Solutions of linear and non-linear partial differential equations by means of tensor product theory of Banach space","authors":"W. Alshanti","doi":"10.58997/ejde.2024.28","DOIUrl":"https://doi.org/10.58997/ejde.2024.28","url":null,"abstract":"In this article, we introduce an analytical method for solving both non-separable linear and non-linear partial differential equations, for which separation of variables method does not work. This method is based on the theory of tensor product in Banach spaces coupled with some properties of atoms operators. We provide some illustrative examples. \u0000For more information see https://ejde.math.txstate.edu/Volumes/2024/28/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140367581","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
Existence of solutions to stochastic p(t,x)-Laplace equations and applications 随机 p(t,x)-拉普拉斯方程解的存在性及其应用
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2024-03-27 DOI: 10.58997/ejde.2024.27
Chen Liang, Lixu Yan, Yongqiang Fu
{"title":"Existence of solutions to stochastic p(t,x)-Laplace equations and applications","authors":"Chen Liang, Lixu Yan, Yongqiang Fu","doi":"10.58997/ejde.2024.27","DOIUrl":"https://doi.org/10.58997/ejde.2024.27","url":null,"abstract":"In this article, we consider a stochastic $p(t,x)$-Laplace equation. First we use the Galerkin method to obtain a unique weak solution. Then we obtain optimal controls for the corresponding stochastic optimal control problem\u0000For more information see https://ejde.math.txstate.edu/Volumes/2024/27/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140376206","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
Entire solutions to Fermat-type difference and partial differential-difference equations in C^n C^n 中费马型差分方程和偏微分差分方程的全解
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2024-03-25 DOI: 10.58997/ejde.2024.26
Hong Yan Xu, Goutam Haldar
{"title":"Entire solutions to Fermat-type difference and partial differential-difference equations in C^n","authors":"Hong Yan Xu, Goutam Haldar","doi":"10.58997/ejde.2024.26","DOIUrl":"https://doi.org/10.58997/ejde.2024.26","url":null,"abstract":"In this article, we study the existence and the form of finite order transcendental entire solutions of systems of Fermat-type difference and partial differential-difference equations in several complex variables. Our results extend previous theorems given by Xu-Cao [49], Xu et al [52], and Zheng-Xu [55]. We give some examples to illustrate the content of this article.\u0000For more information see https://ejde.math.txstate.edu/Volumes/2024/26/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140383055","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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