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Electronic Journal of Differential Equations最新文献

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Periodic unfolding method for domains with very small inclusions 极小夹杂物域的周期展开法
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-12-20 DOI: 10.58997/ejde.2023.85
J. Avila, Bituin C. Cabarrubias
{"title":"Periodic unfolding method for domains with very small inclusions","authors":"J. Avila, Bituin C. Cabarrubias","doi":"10.58997/ejde.2023.85","DOIUrl":"https://doi.org/10.58997/ejde.2023.85","url":null,"abstract":"This work creates a version of the periodic unfolding method suitable for domains with very small inclusions in (mathbb{R}^N) for (Ngeq 3). In the first part, we explore the properties of the associated operators. The second part involves the application of the method in obtaining the asymptotic behavior of a stationary heat dissipation problem depending on the parameter ( gamma < 0). In particular, we consider the cases when (gamma in (-1,0)), ( gamma < -1) and (gamma = -1). We also include here the corresponding corrector results for the solution of the problem, to complete the homogenization process. For more information see https://ejde.math.txstate.edu/Volumes/2023/85/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2023-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139168709","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
Growth and value distribution of linear difference polynomials generated by meromorphic solutions of higher-order linear difference equations 高阶线性差分方程分形解生成的线性差分多项式的增长和值分布
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-12-16 DOI: 10.58997/ejde.2023.84
Yi Xin Luo, Xiu Min Zheng
{"title":"Growth and value distribution of linear difference polynomials generated by meromorphic solutions of higher-order linear difference equations","authors":"Yi Xin Luo, Xiu Min Zheng","doi":"10.58997/ejde.2023.84","DOIUrl":"https://doi.org/10.58997/ejde.2023.84","url":null,"abstract":"In this article, we investigate the relationship between growth and value distribution of meromorphic solutions for the higher-order complex linear difference equations $$ A_n(z)f(z+n)+dots+A_1(z)f(z+1)+A_0(z)f(z)=0 quad text{and } =F(z), $$ and for the linear difference polynomial $$ g(z)=alpha_n(z)f(z+n)+dots+alpha_1(z)f(z+1)+alpha_0(z)f(z) $$ generated by (f(z)) where (A_j(z)), (alpha_j(z)) ((j=0,1,ldots,n)), (F(z)) ((notequiv0)) are meromorphic functions. We improve some previous results due to Belaidi, Chen and Zheng and others. \u0000For more information see https://ejde.math.txstate.edu/Volumes/2023/84/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2023-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138966904","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 analysis on a continuous planar piecewise linear differential system with three zones 带三个区的连续平面片断线性微分系统的全局分析
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-12-10 DOI: 10.58997/ejde.2023.83
Man Jia, Youfeng Su, Hebai Chen
{"title":"Global analysis on a continuous planar piecewise linear differential system with three zones","authors":"Man Jia, Youfeng Su, Hebai Chen","doi":"10.58997/ejde.2023.83","DOIUrl":"https://doi.org/10.58997/ejde.2023.83","url":null,"abstract":"This article concerns the global dynamics of a continuous planar piecewise linear differential system with three zones. We give global phase portraits in the Poincare disc and classify bifurcation diagrams under certain parametric conditions, when the dynamics of central linear zone is anti-saddle. Rich dynamical behaviors are demonstrated, from which we observe homoclinic loops appearing in three linear zones and limit cycles occurring in three linear zones which surround a node or node-focus. \u0000For more information see https://ejde.math.txstate.edu/Volumes/2023/83/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2023-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138982600","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
Variety of solutions and dynamical behavior for YTSF equations YTSF 方程的解的多样性和动力学行为
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-12-10 DOI: 10.58997/ejde.2023.82
Wei Chen
{"title":"Variety of solutions and dynamical behavior for YTSF equations","authors":"Wei Chen","doi":"10.58997/ejde.2023.82","DOIUrl":"https://doi.org/10.58997/ejde.2023.82","url":null,"abstract":"We construct non-homogeneous polynomial lump wave solutions of the Yu-Toda-Sasa-Fukuyama (YTSF) equation, based on a bilinear approach, enriching the formal diversity of lump waves. By studying the interaction between the lump solutions of the YTSF equation and the solitary wave solutions, we find a new aggregation effect and elastic collision effect. We obtain exact solutions, such as the solution of separated variables and periodic nonlinear wave solutions, by applying the Lie symmetry group method and the bilinear method. \u0000For more information see https://ejde.math.txstate.edu/Volumes/2023/82/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2023-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138982422","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
Inverse nodal problems for Dirac operators and their numerical approximations 狄拉克算子的反节点问题及其数值逼近
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-12-06 DOI: 10.58997/ejde.2023.81
Fei Song, Yu-Ping Wang, S. Akbarpoor
{"title":"Inverse nodal problems for Dirac operators and their numerical approximations","authors":"Fei Song, Yu-Ping Wang, S. Akbarpoor","doi":"10.58997/ejde.2023.81","DOIUrl":"https://doi.org/10.58997/ejde.2023.81","url":null,"abstract":"In this article, we consider an inverse nodal problem of Dirac operators and obtain approximate solution and its convergence based on the second kind Chebyshev wavelet and Bernstein methods. We establish a uniqueness theorem of this problem from parts of nodal points instead of a dense nodal set. Numerical examples are carried out to illustrate our method. \u0000For more information see https://ejde.math.txstate.edu/Volumes/2023/81/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2023-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138594244","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
Turrittin's normal forms for linear systems of meromorphic ODEs over the real field 实域上分形 ODE 线性系统的 Turrittin 正则表达式
IF 0.7 4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-11-27 DOI: 10.58997/ejde.2023.79
M. Barkatou, Félix Álvaro Carnicero, Fernando Sanz
{"title":"Turrittin's normal forms for linear systems of meromorphic ODEs over the real field","authors":"M. Barkatou, Félix Álvaro Carnicero, Fernando Sanz","doi":"10.58997/ejde.2023.79","DOIUrl":"https://doi.org/10.58997/ejde.2023.79","url":null,"abstract":"We establish a version of Turrittin's result on normal forms of linear systems of meromorphic ODEs when the base field K is real and closed. Both the proposed normal forms and the transformations used have coefficients in K. Our motivation comes from applications to the study of trajectories of real analytic vector fields (already treated in the literature in dimension three). For the sake of clarity and completeness, we first review Turrittin's theorem in the case of an algebraically closed base field. For more information see https://ejde.math.txstate.edu/Volumes/2023/79/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2023-11-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139231298","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 for the Navier-Stokes equations with critical and subcritical fractional dissipation in Lei-Lin and Lei-Lin-Gevrey spaces Lei-Lin和Lei-Lin- gevrey空间中临界和次临界分数耗散Navier-Stokes方程的解
4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-11-10 DOI: 10.58997/ejde.2023.78
Wilberclay G. Melo, Nata F. Rocha, Natielle dos Santos Costa
{"title":"Solutions for the Navier-Stokes equations with critical and subcritical fractional dissipation in Lei-Lin and Lei-Lin-Gevrey spaces","authors":"Wilberclay G. Melo, Nata F. Rocha, Natielle dos Santos Costa","doi":"10.58997/ejde.2023.78","DOIUrl":"https://doi.org/10.58997/ejde.2023.78","url":null,"abstract":"In this article, we prove the existence of a unique global solution for the critical case of the generalized Navier-Stokes equations in Lei-Lin and Lei-Lin-Gevrey spaces, by assuming that the initial data is small enough. Moreover, we obtain a unique local solution for the subcritical case of this system, for any initial data, in these same spaces. It is important to point out that our main result is obtained by discussing some properties of the solutions for the heat equation with fractional dissipation.&#x0D; For more information see https://ejde.math.txstate.edu/Volumes/2023/78/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135186457","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
Stability of ground states of nonlinear Schrodinger systems 非线性薛定谔系统基态的稳定性
4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-11-01 DOI: 10.58997/ejde.2023.76
Liliana Cely
{"title":"Stability of ground states of nonlinear Schrodinger systems","authors":"Liliana Cely","doi":"10.58997/ejde.2023.76","DOIUrl":"https://doi.org/10.58997/ejde.2023.76","url":null,"abstract":"In this article, we study existence and stability of ground states for a system of two coupled nonlinear Schrodinger equations with logarithmic nonlinearity. Moreover, global well-posedness is verified for the Cauchy problem in (H^{1}(mathbb{R})times H^{1}(mathbb{R})) and in an appropriate Orlicz space.&#x0D; For more information see https://ejde.math.txstate.edu/Volumes/2023/76/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135371150","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
Concentration of nodal solutions for semiclassical quadratic Choquard equations 半经典二次Choquard方程节点解的集中
4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-10-30 DOI: 10.58997/ejde.2023.75
Lu Yang, Xiangqing Liu, Jianwen Zhou
{"title":"Concentration of nodal solutions for semiclassical quadratic Choquard equations","authors":"Lu Yang, Xiangqing Liu, Jianwen Zhou","doi":"10.58997/ejde.2023.75","DOIUrl":"https://doi.org/10.58997/ejde.2023.75","url":null,"abstract":"In this article concerns the semiclassical Choquard equation (-varepsilon^2 Delta u +V(x)u = varepsilon^{-2}( frac{1}{|cdot|}* u^2)u) for (x in mathbb{R}^3) and small (varepsilon). We establish the existence of a sequence of localized nodal solutions concentrating near a given local minimum point of the potential function (V), by means of the perturbation method and the method of invariant sets of descending flow. For more information see https://ejde.math.txstate.edu/Volumes/2023/75/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136069114","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
Impulsive regular q-Dirac systems 脉冲正则q-Dirac系统
4区 数学
Electronic Journal of Differential Equations Pub Date : 2023-10-27 DOI: 10.58997/ejde.2023.74
Bilender P. Allahverdiev, Huseyin Tuna, Hamlet A Isayev
{"title":"Impulsive regular q-Dirac systems","authors":"Bilender P. Allahverdiev, Huseyin Tuna, Hamlet A Isayev","doi":"10.58997/ejde.2023.74","DOIUrl":"https://doi.org/10.58997/ejde.2023.74","url":null,"abstract":"This article concerns a regular $q$-Dirac system under impulsive conditions. We study the existence of solutions, symmetry of the corresponding operator, eigenvalues and eigenfunctions of the system. Also we obtain Green's function and its basic properties. For more informatin see https://ejde.math.txstate.edu/Volumes/2023/74/abstr.html","PeriodicalId":49213,"journal":{"name":"Electronic Journal of Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136317156","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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