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
Semigroup theory and asymptotic profiles of solutions for a higher-order Fisher-KPP problem in R^N R^N中高阶Fisher-KPP问题的半群理论及解的渐近轮廓
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-01-01 DOI: 10.58997/ejde.2023.04
José Luis Díaz Palencia
{"title":"Semigroup theory and asymptotic profiles of solutions for a higher-order Fisher-KPP problem in R^N","authors":"José Luis Díaz Palencia","doi":"10.58997/ejde.2023.04","DOIUrl":"https://doi.org/10.58997/ejde.2023.04","url":null,"abstract":"We study a reaction-diffusion problem formulated with a higher-order operator, a non-linear advection, and a Fisher-KPP reaction term depending on the spatial variable. The higher-order operator induces solutions to oscillate in the proximity of an equilibrium condition. Given this oscillatory character, solutions are studied in a set of bounded domains. We introduce a new extension operator, that allows us to study the solutions in the open domain RN, but departing from a sequence of bounded domains. The analysis about regularity of solutions is built based on semigroup theory. In this approach, the solutions are interpreted as an abstract evolution given by a bounded continuous operator. Afterward, asymptotic profiles of solutions are studied based on a Hamilton-Jacobi equation that is obtained with a single point exponential scaling. Finally, a numerical assessment, with the function bvp4c in Matlab, is introduced to discuss on the validity of the hypothesis.","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":"1 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71218513","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
Traveling waves with singularities in a damped hyperbolic MEMS type equation in the presence of negative powers nonlinearity 负幂非线性存在下阻尼双曲MEMS型方程中的奇异行波
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-01-01 DOI: 10.58997/ejde.2023.05
Yutaka Ichida
{"title":"Traveling waves with singularities in a damped hyperbolic MEMS type equation in the presence of negative powers nonlinearity","authors":"Yutaka Ichida","doi":"10.58997/ejde.2023.05","DOIUrl":"https://doi.org/10.58997/ejde.2023.05","url":null,"abstract":"We consider traveling waves with singularities in a damped hyperbolic MEMS type equation in the presence of negative powers nonlinearity. We investigate how the existence of traveling waves, their shapes, and asymptotic behavior change with the presence or absence of an inertial term. These are studied by applying the framework that combines Poincare compactification, classical dynamical systems theory, and geometric methods for the desingularization of vector fields. We report that the presence of this term causes the shapes to change significantly for sufficiently large wave speeds.","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":"1 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71218651","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 stability of a stochastic age-structured cooperative Lotka-Volterra system with Poisson jumps 具有泊松跳变的随机年龄结构合作Lotka-Volterra系统的渐近稳定性
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-01-01 DOI: 10.58997/ejde.2023.02
Mengqing Zhang, Jing Tian, Keyue Zou
{"title":"Asymptotic stability of a stochastic age-structured cooperative Lotka-Volterra system with Poisson jumps","authors":"Mengqing Zhang, Jing Tian, Keyue Zou","doi":"10.58997/ejde.2023.02","DOIUrl":"https://doi.org/10.58997/ejde.2023.02","url":null,"abstract":"In this article, we study a stochastic age-structured cooperative Lotka-Volterra system with Poisson jumps. Applying the M-matrix theory, we prove the existence and uniqueness of a global solution for the system. Then we use an optimized Euler-Maruyama numerical scheme to approximate the solution. We obtain second-moment boundedness and convergence rate of the numerical solutions. The numerical solutions illustrate the theoretical results.","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":"1 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71218823","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
Monotonicity properties of the eigenvalues of nonlocal fractional operators and their applications 非局部分数算子特征值的单调性及其应用
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2022-12-21 DOI: 10.58997/ejde.2022.85
Giovanni Molica Bisci, Raffaella Servadei, Binlin Zhang
{"title":"Monotonicity properties of the eigenvalues of nonlocal fractional operators and their applications","authors":"Giovanni Molica Bisci, Raffaella Servadei, Binlin Zhang","doi":"10.58997/ejde.2022.85","DOIUrl":"https://doi.org/10.58997/ejde.2022.85","url":null,"abstract":"In this article we study an equation driven by the nonlocal integrodifferential operator (-mathcal L_K) in presence of an asymmetric nonlinear term f. Among the main results of the paper we prove the existence of at least a weak solution for this problem, under suitable assumptions on the asymptotic behavior of the nonlinearity f at (pm infty). Moreover, we show the uniqueness of this solution, under additional requirements on f. We also give a non-existence result for the problem under consideration. All these results were obtained using variational techniques and a monotonicity property of the eigenvalues of (-mathcal L_K) with respect to suitable weights, that we prove along the present paper. This monotonicity property is of independent interest and represents the nonlocal counterpart of a famous result obtained by de Figueiredo and Gossez [14] in the setting of uniformly elliptic operators.","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45053141","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
Existence of a solution and its numerical approximation for a strongly nonlinear coupled system in anisotropic Orlicz-Sobolev spaces 各向异性Orlicz-Sobolev空间中强非线性耦合系统解的存在性及其数值逼近
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2022-12-21 DOI: 10.58997/ejde.2022.84
F. Ortegón Gallego, Hakima Ouyahya, M. Rhoudaf
{"title":"Existence of a solution and its numerical approximation for a strongly nonlinear coupled system in anisotropic Orlicz-Sobolev spaces","authors":"F. Ortegón Gallego, Hakima Ouyahya, M. Rhoudaf","doi":"10.58997/ejde.2022.84","DOIUrl":"https://doi.org/10.58997/ejde.2022.84","url":null,"abstract":"We study the existence of a capacity solution for a nonlinear elliptic coupled system in anisotropic Orlicz-Sobolev spaces. The unknowns are the temperature inside a semiconductor material, and the electric potential. This system may be considered as a generalization of the steady-state thermistor problem. The numerical solution is also analyzed by means of the least squares method in combination with a conjugate gradient technique.","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49589737","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
Well-posedness of stochastic time fractional 2D-Stokes models with finite and infinite delay 有限和无限延迟随机时间分数2D-Stokes模型的适定性
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2022-12-21 DOI: 10.58997/ejde.2022.86
Jiaohui Xu, T. Caraballo
{"title":"Well-posedness of stochastic time fractional 2D-Stokes models with finite and infinite delay","authors":"Jiaohui Xu, T. Caraballo","doi":"10.58997/ejde.2022.86","DOIUrl":"https://doi.org/10.58997/ejde.2022.86","url":null,"abstract":"We analyze the well-posedness of two versions of a stochastic time delay fractional 2D-Stokes model with nonlinear multiplicative noise. The main tool to prove the existence and uniqueness of mild solutions is a fixed point argument. The results for the first model can only be proved for (alphain (1/2,1)), and the global existence in time is shown only when the noise is additive. As for the second model, all results are true for (alpha in (0,1)), and the global solutions in time is shown for general nonlinear multiplicative noise. The analyzes for the finite and infinite delay cases, follow the same lines, but they require different phase spaces and estimates. This article can be considered as a first approximation to the challenging model of stochastic time fractional Navier-Stokes (with or without delay) which so far remains as an open problem.","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43279919","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
Existence of positive periodic solutions for a nonlinear system of second-order ordinary differential equations 一类非线性二阶常微分方程组正周期解的存在性
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2022-12-15 DOI: 10.58997/ejde.2022.83
Xiaoyan Han, Yu He, Huifang Wei
{"title":"Existence of positive periodic solutions for a nonlinear system of second-order ordinary differential equations","authors":"Xiaoyan Han, Yu He, Huifang Wei","doi":"10.58997/ejde.2022.83","DOIUrl":"https://doi.org/10.58997/ejde.2022.83","url":null,"abstract":"This article concerns the positive periodic solutions for a system of second-order nonlinear ordinary differential equations, in which the nonlinear term is sublinear in one equation and superlinear in the other equation.By using the fixed point theorem of cone expansion and compression we obtain the existence of positive periodic solutions.","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46380592","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
Stabilization of semilinear wave equations with time-dependent variable coefficients and memory 具有时变系数和记忆的半线性波动方程的镇定
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2022-12-15 DOI: 10.58997/ejde.2023.36
Sheng-Jie Li, Shugen Chai
{"title":"Stabilization of semilinear wave equations with time-dependent variable coefficients and memory","authors":"Sheng-Jie Li, Shugen Chai","doi":"10.58997/ejde.2023.36","DOIUrl":"https://doi.org/10.58997/ejde.2023.36","url":null,"abstract":"In this article, we study the stabilization of semilinear wave equations with time-dependent variable coefficients and memory in the nonlinear boundary feedback. We obtain the energy decay rate of the solution by an equivalent energy approach in the framework of Riemannian geometry.","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48077658","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
Regular traveling waves for a reaction-diffusion equation with two nonlocal delays 具有两个非局部时滞的反应扩散方程的正则行波
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2022-12-12 DOI: 10.58997/ejde.2022.82
Hai-Qin Zhao, Shiliang Wu
{"title":"Regular traveling waves for a reaction-diffusion equation with two nonlocal delays","authors":"Hai-Qin Zhao, Shiliang Wu","doi":"10.58997/ejde.2022.82","DOIUrl":"https://doi.org/10.58997/ejde.2022.82","url":null,"abstract":"This article concerns regular traveling waves of a reaction-diffusionequation with two nonlocal delays arising from the study of a singlespecies with immature and mature stages and different ages at reproduction. Establishing a necessary condition on the regular traveling waves, we prove the uniqueness of noncritical regular traveling waves,regardless of being monotone or not. Under a quasi-monotone assumption and among other things, we further show that all noncritical monotone traveling waves are exponentially stable, by establishing two comparison theorems and constructing an auxiliary lower equation.","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49109074","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
Mixed local and nonlocal Schrodinger-Poisson type system involving variable exponents 含变指数的混合局部和非局部Schrodinger-Poisson型系统
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2022-11-28 DOI: 10.58997/ejde.2022.81
Xiaolu Lin, Shenzhou Zheng
{"title":"Mixed local and nonlocal Schrodinger-Poisson type system involving variable exponents","authors":"Xiaolu Lin, Shenzhou Zheng","doi":"10.58997/ejde.2022.81","DOIUrl":"https://doi.org/10.58997/ejde.2022.81","url":null,"abstract":"We consider the existence of solutions for a class of Schrodinger-Poisson type equations with mixed local and nonlocal p-Laplacian. More precisely, we obtain two distinct nontrivial solutions for the problem involving variable exponents growth by the variational methods. Moreover, the phenomena of concentration and multiplicity of solutions are also investigated as (lambdato infty).","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43940181","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: 2
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：604180095
Book学术官方微信