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Electronic Journal of Differential Equations最新文献

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Abstract degenerate Volterra inclusions in locally convex spaces 局部凸空间中的抽象简并Volterra内含子
4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-09-25 DOI: 10.58997/ejde.2023.63
Marko Kostic
{"title":"Abstract degenerate Volterra inclusions in locally convex spaces","authors":"Marko Kostic","doi":"10.58997/ejde.2023.63","DOIUrl":"https://doi.org/10.58997/ejde.2023.63","url":null,"abstract":"In this paper, we analyze the abstract degenerate Volterra integro-differential equations in sequentially complete locally convex spaces by using multivalued linear operators and vector-valued Laplace transform. We follow the method which is based on the use of (a, k)-regularized C-resolvent families generated by multivalued linear operators and which suggests a very general way of approaching abstract Volterra equations. Among many other themes, we consider the Hille-Yosida type theorems for ((a, k))-regularized C-resolvent families, differential and analytical properties of ((a, k))-regularized $C$-resolvent families, the generalized variation of parameters formula, and subordination principles. We also introduce and analyze the class of ((a, k))-regularized ((C_1,C_2))-existence and uniqueness families. The main purpose of third section, which can be viewed of some independent interest, is to introduce a relatively simple and new theoretical concept useful in the analysis of operational properties of Laplace transform of non-continuous functions with values in sequentially complete locally convex spaces. This concept coincides with the classical concept of vector-valued Laplace transform in the case that (X) is a Banach space. For more information see https://ejde.math.txstate.edu/Volumes/2023/63/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135864169","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
Global classical solutions to equatorial shallow-water equations 赤道浅水方程组的全局经典解
4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-09-21 DOI: 10.58997/ejde.2023.62
Yue Fang, Kaiqiang Li, Xin Xu
{"title":"Global classical solutions to equatorial shallow-water equations","authors":"Yue Fang, Kaiqiang Li, Xin Xu","doi":"10.58997/ejde.2023.62","DOIUrl":"https://doi.org/10.58997/ejde.2023.62","url":null,"abstract":"In this article, we study the equatorial shallow-water equations with slip boundary condition in bounded domain. By exploring the dissipative structures of the system, we obtaining a priori estimates of the solution for small initial data. Then the existence of classical global solutions and exponential stability results are given.
 For more inofrmation see https://ejde.math.txstate.edu/Volumes/2023/62/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136237387","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
Singular p-biharmonic problems involving the Hardy-Sobolev exponent 涉及Hardy-Sobolev指数的奇异p-双调和问题
4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-09-18 DOI: 10.58997/ejde.2023.61
Amor Drissi, Abdeljabbar Ghanmi, Dusan D. Repovs
{"title":"Singular p-biharmonic problems involving the Hardy-Sobolev exponent","authors":"Amor Drissi, Abdeljabbar Ghanmi, Dusan D. Repovs","doi":"10.58997/ejde.2023.61","DOIUrl":"https://doi.org/10.58997/ejde.2023.61","url":null,"abstract":"This paper is concerned with existence results for the singular $p$-biharmonic problem involving the Hardy potential and the critical Hardy-Sobolev exponent. More precisely, by using variational methods combined with the Mountain pass theorem and the Ekeland variational principle, we establish the existence and multiplicity of solutions. To illustrate the usefulness of our results, an illustrative example is also presented.","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135109759","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
Space-time behavior for radiative hydrodynamics model with or without heat conduction 有无热传导的辐射流体力学模型的时空行为
4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-09-15 DOI: 10.58997/ejde.2023.60
Mengqian Liu, Zhigang Wu
{"title":"Space-time behavior for radiative hydrodynamics model with or without heat conduction","authors":"Mengqian Liu, Zhigang Wu","doi":"10.58997/ejde.2023.60","DOIUrl":"https://doi.org/10.58997/ejde.2023.60","url":null,"abstract":"We consider space-time behaviors of smooth solutions for the radiative hydrodynamics system with or without heat conduction in the whole space (R^3) by using Green's function method. This result exhibits the generalized Huygens' principle as the classical compressible Navier-Stokes equations [3,26], which is different from the Hamer model for radiating gases in [36].
 For more information see https://ejde.math.txstate.edu/Volumes/2023/60/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135437409","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
Analysis and simulations of the HANDY model with social mobility, renewables and nonrenewables 考虑社会流动性、可再生能源和不可再生能源的HANDY模型的分析和模拟
4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-09-15 DOI: 10.58997/ejde.2023.59
Meir Shillor, Thanaa Ali Kadhim
{"title":"Analysis and simulations of the HANDY model with social mobility, renewables and nonrenewables","authors":"Meir Shillor, Thanaa Ali Kadhim","doi":"10.58997/ejde.2023.59","DOIUrl":"https://doi.org/10.58997/ejde.2023.59","url":null,"abstract":"We expand the HANDY (Human And Nature DYnamics) model for the socioeconomic dynamics of a large stratified society. The basic model was introduced in Motesharrei (Dissertation 2014) and Motesharrei et al. (2016). It is a nonlinear system of ODEs for a `simple society' of Elites, Workers, Wealth, and Natural Resources. Following Ali Kadhim (Dissertation 2021), we add social mobility between the classes and split natural resources into renewables and nonrenewables. We establish the existence, boundedness and positivity of the solutions, and investigates the stability of the steady states. The model admits stable steady states, and there is numerical evidence of stable periodic solutions and limit cycles. Simulations depict the different qualitative types of model behavior: convergence to steady states, periodic oscillations, collapse.
 For more information see https://ejde.math.txstate.edu/Volumes/2023/59/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135437410","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 analysis of perturbed Robin problems in a planar domain 平面域上扰动Robin问题的渐近分析
4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-09-11 DOI: 10.58997/ejde.2023.57
Paolo Musolino, Martin Dutko, Gennady Mishuris
{"title":"Asymptotic analysis of perturbed Robin problems in a planar domain","authors":"Paolo Musolino, Martin Dutko, Gennady Mishuris","doi":"10.58997/ejde.2023.57","DOIUrl":"https://doi.org/10.58997/ejde.2023.57","url":null,"abstract":"We consider a perforated domain (Omega(epsilon)) of (mathbb{R}^2) with a small hole of size (epsilon) and we study the behavior of the solution of a mixed Neumann-Robin problem in (Omega(epsilon)) as the size (epsilon) of the small hole tends to (0). In addition to the geometric degeneracy of the problem, the nonlinear (epsilon)-dependent Robin condition may degenerate into a Neumann condition for (epsilon=0) and the Robin datum may diverge to infinity. Our goal is to analyze the asymptotic behavior of the solutions to the problem as (epsilon) tends to (0) and to understand how the boundary condition affects the behavior of the solutions when (epsilon) is close to (0). The present paper extends to the planar case the results of [36] dealing with the case of dimension (ngeq 3).
 For more information see https://ejde.math.txstate.edu/Volumes/2023/57/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136024315","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
Non-local fractional boundary value problems with applications to predator-prey models 非局部分数边值问题及其在捕食者-猎物模型中的应用
4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-09-11 DOI: 10.58997/ejde.2023.58
Michal Feckan, Kateryna Marynets
{"title":"Non-local fractional boundary value problems with applications to predator-prey models","authors":"Michal Feckan, Kateryna Marynets","doi":"10.58997/ejde.2023.58","DOIUrl":"https://doi.org/10.58997/ejde.2023.58","url":null,"abstract":"We study a nonlinear fractional boundary value problem (BVP) subject to non-local multipoint boundary conditions. By introducing an appropriate parametrization technique we reduce the original problem to an equivalent one with already two-point restrictions. Using a notion of Chebyshev nodes and Lagrange polynomials we construct a successive iteration scheme, that converges to the exact solution of the non-local problem for particular values of the unknown parameters, which are calculated numerically.
 For mote information see https://ejde.math.txstate.edu/Volumes/2023/58/abstr.html
","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136024786","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 solutions for Sobolev critical Schrodinger-Bopp-Podolsky systems Sobolev临界薛定谔-波普-波多尔斯基系统的归一化解
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-09-05 DOI: 10.58997/ejde.2023.56
Yuxin Li, Xiaojun Chang, Zhaosheng Feng
{"title":"Normalized solutions for Sobolev critical Schrodinger-Bopp-Podolsky systems","authors":"Yuxin Li, Xiaojun Chang, Zhaosheng Feng","doi":"10.58997/ejde.2023.56","DOIUrl":"https://doi.org/10.58997/ejde.2023.56","url":null,"abstract":"We study the Sobolev critical Schrodinger-Bopp-Podolsky system $$displaylines{ -Delta u+phi u=lambda u+mu|u|^{p-2}u+|u|^4uquad text{in }mathbb{R}^3,cr -Deltaphi+Delta^2phi=4pi u^2quad text{in } mathbb{R}^3, }$$ under the mass constraint (int_{mathbb{R}^3}u^2,dx=c ) for some prescribed (c>0), where (20) is a parameter, and (lambdainmathbb{R}) is a Lagrange multiplier. By developing a constraint minimizing approach, we show that the above system admits a local minimizer. Furthermore, we establish the existence of normalized ground state solutions.\u0000For more inofrmation see https://ejde.math.txstate.edu/Volumes/2023/56/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2023-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42598070","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 wave solutions for three-species nonlocal competitive-cooperative systems 三种非局部竞争-合作系统的行波解
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-09-04 DOI: 10.58997/ejde.2023.55
Hong-Jie Wu, Bang-Sheng Han, Shao-yue Mi, Liang-Bin Shen
{"title":"Traveling wave solutions for three-species nonlocal competitive-cooperative systems","authors":"Hong-Jie Wu, Bang-Sheng Han, Shao-yue Mi, Liang-Bin Shen","doi":"10.58997/ejde.2023.55","DOIUrl":"https://doi.org/10.58997/ejde.2023.55","url":null,"abstract":"By using a two-point boundary-value problem and a Schauder's fixed point theorem, we obtain traveling wave solutions connecting ((0,0,0)) to an unknown positive steady state for speed (cgeq c^{ast}=max{2,2sqrt{d_2r_2},2sqrt{d_3r_3}}). Then we present some asymptotic behaviors of traveling wave solutions. In particular we show that the nonlocal effects have a great influence on the final state of traveling wave solutions at (-infty). \u0000For more information see https://ejde.math.txstate.edu/Volumes/2023/55/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2023-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45357779","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 for singular elliptic problems with singular nonlinearities and critical Caffarelli-Kohn-Nirenberg exponent 具有奇异非线性和临界Caffarelli Kohn Nirenberg指数的奇异椭圆问题解的存在性
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-08-31 DOI: 10.58997/ejde.2023.54
M. E. O. E. El Mokhtar
{"title":"Existence of solutions for singular elliptic problems with singular nonlinearities and critical Caffarelli-Kohn-Nirenberg exponent","authors":"M. E. O. E. El Mokhtar","doi":"10.58997/ejde.2023.54","DOIUrl":"https://doi.org/10.58997/ejde.2023.54","url":null,"abstract":"In this article, we consider a singular elliptic problem with singular nonlinearities and critical Caffarelli-Kohn-Nirenberg exponent. By using variational methods and Palais-Smale condition, we show the existence of at least two nontrivial solutions. The result depends crucially on the parameters (a,b,N,beta,gamma,lambda,mu).\u0000For more information see https://ejde.math.txstate.edu/Volumes/2023/54/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2023-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44301555","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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