发布求助
文献互助 智能选刊 最新文献

Electronic Journal of Differential Equations最新文献

筛选
英文 中文
Periodic solutions in distribution for stochastic lattice differential equations 随机格微分方程分布中的周期解
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2024-03-21 DOI: 10.58997/ejde.2024.25
Yue Gao, Xue Yang
{"title":"Periodic solutions in distribution for stochastic lattice differential equations","authors":"Yue Gao, Xue Yang","doi":"10.58997/ejde.2024.25","DOIUrl":"https://doi.org/10.58997/ejde.2024.25","url":null,"abstract":"In this article, we consider stochastic lattice differential equations (SLDEs) in weighted space $l^2_rho$ of infinite sequences. We establish the well-posedness of solutions and prove the existence of periodic solutions in distribution. An example is given to illustrate the validity of our results. \u0000For more information see https://ejde.math.txstate.edu/Volumes/2024/25/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140222202","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
P-mean (mu1,mu2)-pseudo almost periodic processes and application to integro-differential stochastic evolution equations P-均值（mu1,mu2）-伪几乎周期过程及其在积分微分随机演化方程中的应用
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2024-03-14 DOI: 10.58997/ejde.2024.24
Moez Ayachi, Syed Abbas
{"title":"P-mean (mu1,mu2)-pseudo almost periodic processes and application to integro-differential stochastic evolution equations","authors":"Moez Ayachi, Syed Abbas","doi":"10.58997/ejde.2024.24","DOIUrl":"https://doi.org/10.58997/ejde.2024.24","url":null,"abstract":"In this article, we investigate the existence and stability of p-mean ((mu_1,mu_2))-pseudo almost periodic solutions for a class of non-autonomous integro-differential stochastic evolution equations in a real separable Hilbert space. Using stochastic analysis techniques and the contraction mapping principle, we prove the existence and uniqueness of p-mean ((mu_1,mu_2))-pseudo almost periodic solutions. We also provide sufficient conditions for the stability of these solutions. Finally, we present three examples with numerical simulations to illustrate the significance of the main findings. \u0000For mor information see https://ejde.math.txstate.edu/Volumes/2024/24/abstr.html \u0000 ","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140242557","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
Form of solutions to quadratic trinomial partial differential equations with two complex variables 含两个复变数的二次三项式偏微分方程解的形式
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2024-03-12 DOI: 10.58997/ejde.2024.23
Jin Tu, Huizhen Wei
{"title":"Form of solutions to quadratic trinomial partial differential equations with two complex variables","authors":"Jin Tu, Huizhen Wei","doi":"10.58997/ejde.2024.23","DOIUrl":"https://doi.org/10.58997/ejde.2024.23","url":null,"abstract":"This article describes the from of entire solutions to quadratic trinomial partial differential equations (PDEs). By applying the Nevanlinna theory and the characteristic equation of PDEs, we extend some of the results obtained in [24]. We also provide examples that illustrate our results.\u0000For more information see https://ejde.math.txstate.edu/Volumes/2024/23/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140248924","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
Asymptotic behavior of solutions to nonclassical diffusion equations with degenerate memory and a time-dependent perturbed parameter 具有退化记忆和随时间变化的扰动参数的非经典扩散方程解的渐近行为
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2024-03-12 DOI: 10.58997/ejde.2024.22
Jiangwei Zhang, Zhe Xie, Yongqin Xie
{"title":"Asymptotic behavior of solutions to nonclassical diffusion equations with degenerate memory and a time-dependent perturbed parameter","authors":"Jiangwei Zhang, Zhe Xie, Yongqin Xie","doi":"10.58997/ejde.2024.22","DOIUrl":"https://doi.org/10.58997/ejde.2024.22","url":null,"abstract":"This article concerns the asymptotic behavior of solutions for a class of nonclassical diffusion equation with time-dependent perturbation coefficient and degenerate memory. We prove the existence and uniqueness of time-dependent global attractors in the family of time-dependent product spaces, by applying the operator decomposition technique and the contractive function method. Then we study the asymptotic structure of time-dependent global attractors as (tto infty). It is worth noting that the memory kernel function satisfies general assumption, and the nonlinearity (f) satisfies a polynomial growth of arbitrary order.\u0000For more information see https://ejde.math.txstate.edu/Volumes/2024/22/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140248803","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 periodic solutions and stability for a nonlinear system of neutral differential equations 非线性中性微分方程系统的周期解存在性和稳定性
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2024-03-04 DOI: 10.58997/ejde.2024.21
Yang Li, Guiling Chen
{"title":"Existence of periodic solutions and stability for a nonlinear system of neutral differential equations","authors":"Yang Li, Guiling Chen","doi":"10.58997/ejde.2024.21","DOIUrl":"https://doi.org/10.58997/ejde.2024.21","url":null,"abstract":"In this article, we study the existence and uniqueness of periodic solutions, and stability of the zero solution to the nonlinear neutral system $$ frac{d}{dt}x(t)=A(t)hbig(x(t-tau_1(t))big)+frac{d}{dt}Qbig(t,x(t-tau_2(t))big) +Gbig(t,x(t),x(t-tau_2(t))big). $$ We use integrating factors to transform the neutral differential equation into an equivalent integral equation. Then we construct appropriate mappings and employ Krasnoselskii's fixed point theorem to show the existence of a periodic solution. We also use the contraction mapping principle to show the existence of a unique periodic solution and the asymptotic stability of the zero solution. Our results generalize the corresponding results in the existing literature. An example is given to illustrate our results.For more information see https://ejde.math.txstate.edu/Volumes/2024/21/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140266197","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
Maximal regularity for fractional difference equations of order 2 2 阶分数差分方程的最大正则性
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2024-02-26 DOI: 10.58997/ejde.2024.20
Jichao Zhang, Shangquan Bu
{"title":"Maximal regularity for fractional difference equations of order 2","authors":"Jichao Zhang, Shangquan Bu","doi":"10.58997/ejde.2024.20","DOIUrl":"https://doi.org/10.58997/ejde.2024.20","url":null,"abstract":"In this article, we study the (ell^p)-maximal regularity for the fractional difference equation $$ Delta^{alpha}u(n)=Tu(n)+f(n), quad (nin mathbb{N}_0). $$ We introduce the notion of (alpha)-resolvent sequence of bounded linear operators defined by the parameters (T) and (alpha), which gives an explicit representation of the solution. Using Blunck's operator-valued Fourier multipliers theorems on (ell^p(mathbb{Z}; X)), we give a characterization of the (ell^p)-maximal regularity for (1 < p < infty) and (X) is a UMD space.\u0000For more information see https://ejde.math.txstate.edu/Volumes/2024/20/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140429364","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
Localized nodal solutions for semiclassical Choquard equations with critical growth 具有临界增长的半经典乔夸德方程的局部节点解
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2024-02-16 DOI: 10.58997/ejde.2024.19
Bo-wen Zhang, Wei Zhang
{"title":"Localized nodal solutions for semiclassical Choquard equations with critical growth","authors":"Bo-wen Zhang, Wei Zhang","doi":"10.58997/ejde.2024.19","DOIUrl":"https://doi.org/10.58997/ejde.2024.19","url":null,"abstract":"In this article, we study the existence of localized nodal solutions for semiclassical Choquard equation with critical growth $$ -epsilon^2 Delta v +V(x)v = epsilon^{alpha-N}Big(int_{R^N} frac{|v(y)|^{2_alpha^*}}{|x-y|^{alpha}},dyBig) |v|^{2_alpha^*-2}v +theta|v|^{q-2}v,; x in R^N, $$ where (theta>0), (Ngeq 3), (0< alpha<min {4,N-1},max{2,2^*-1}< q< 2 ^*), (2_alpha^*= frac{2N-alpha}{N-2}), (V) is a bounded function. By the perturbation method and the method of invariant sets of descending flow, we establish for small (epsilon) the existence of a sequence of localized nodal solutions concentrating near a given local minimum point of the potential function (V).\u0000For more information see https://ejde.math.txstate.edu/Volumes/2024/19/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140453999","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 high energy solutions for superlinear coupled Klein-Gordons and Born-Infeld equations 超线性耦合克莱因-戈登方程和博恩-因费尔德方程的高能解的存在性
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2024-02-16 DOI: 10.58997/ejde.2024.18
Lixia Wang, Pingping Zhao, Dong Zhang
{"title":"Existence of high energy solutions for superlinear coupled Klein-Gordons and Born-Infeld equations","authors":"Lixia Wang, Pingping Zhao, Dong Zhang","doi":"10.58997/ejde.2024.18","DOIUrl":"https://doi.org/10.58997/ejde.2024.18","url":null,"abstract":"In this article, we study the system of Klein-Gordon and Born-Infeld equations $$displaylines{ -Delta u +V(x)u-(2omega+phi)phi u =f(x,u), quad xin mathbb{R}^3,cr Delta phi+betaDelta_4phi=4pi(omega+phi)u^2, quad xin mathbb{R}^3, }$$ where (Delta_4phi=hbox{div}(|nablaphi|^2nablaphi)$), (omega) is a positive constant. Assuming that the primitive of (f(x,u)) is of 2-superlinear growth in (u) at infinity, we prove the existence of multiple solutions using the fountain theorem. Here the potential (V) are allowed to be a sign-changing function.\u0000For more information see https://ejde.math.txstate.edu/Volumes/2024/18/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140453682","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
Signorini's problem for the Bresse beam model with localized Kelvin-Voigt dissipation 具有局部开尔文-沃伊特耗散的布雷斯梁模型的西格诺里尼问题
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2024-02-13 DOI: 10.58997/ejde.2024.17
Jaime E. Munoz Rivera, C. A. D. C. Baldez, S. M. Cordeiro
{"title":"Signorini's problem for the Bresse beam model with localized Kelvin-Voigt dissipation","authors":"Jaime E. Munoz Rivera, C. A. D. C. Baldez, S. M. Cordeiro","doi":"10.58997/ejde.2024.17","DOIUrl":"https://doi.org/10.58997/ejde.2024.17","url":null,"abstract":"We prove the existence of a global solution to Signorini's problem for the localized viscoelastic Bresse beam model (circular arc) with continuous and discontinuous constitutive laws. We show that when the constitutive law is continuous, the solution decays exponentially to zero, and when the constitutive law is discontinuous the solution decays only polynomially to zero. The method we use for proving our result is different the others already used in Signorini's problem and is based on approximations through a hybrid model. Also, we present some numerical results using discrete approximations in time and space, based on the finite element method on the spatial variable and the implicit Newmark method to the discretized the temporal variable. \u0000For more information see https://ejde.math.txstate.edu/Volumes/2024/17/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139779676","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
Signorini's problem for the Bresse beam model with localized Kelvin-Voigt dissipation 具有局部开尔文-沃伊特耗散的布雷斯梁模型的西格诺里尼问题
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2024-02-13 DOI: 10.58997/ejde.2024.17
Jaime E. Munoz Rivera, C. A. D. C. Baldez, S. M. Cordeiro
{"title":"Signorini's problem for the Bresse beam model with localized Kelvin-Voigt dissipation","authors":"Jaime E. Munoz Rivera, C. A. D. C. Baldez, S. M. Cordeiro","doi":"10.58997/ejde.2024.17","DOIUrl":"https://doi.org/10.58997/ejde.2024.17","url":null,"abstract":"We prove the existence of a global solution to Signorini's problem for the localized viscoelastic Bresse beam model (circular arc) with continuous and discontinuous constitutive laws. We show that when the constitutive law is continuous, the solution decays exponentially to zero, and when the constitutive law is discontinuous the solution decays only polynomially to zero. The method we use for proving our result is different the others already used in Signorini's problem and is based on approximations through a hybrid model. Also, we present some numerical results using discrete approximations in time and space, based on the finite element method on the spatial variable and the implicit Newmark method to the discretized the temporal variable. \u0000For more information see https://ejde.math.txstate.edu/Volumes/2024/17/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139839732","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
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信