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Electronic Journal of Qualitative Theory of Differential Equations最新文献

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Existence of positive solutions for a fractional compartment system 一类分数室系正解的存在性
IF 1.1 4区 数学
Electronic Journal of Qualitative Theory of Differential Equations Pub Date : 2021-01-01 DOI: 10.14232/ejqtde.2021.1.60
L. Kong, Min Wang
{"title":"Existence of positive solutions for a fractional compartment system","authors":"L. Kong, Min Wang","doi":"10.14232/ejqtde.2021.1.60","DOIUrl":"https://doi.org/10.14232/ejqtde.2021.1.60","url":null,"abstract":"In this article, we investigate the existence of positive solutions of a boundary value problem for a system of fractional differential equations. The resilience of a fractional compartment system is also studied to demonstrate the application of the result.","PeriodicalId":50537,"journal":{"name":"Electronic Journal of Qualitative Theory of Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66583146","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
Minimizing of the quadratic functional on Hopfield networks Hopfield网络上二次泛函的最小化
IF 1.1 4区 数学
Electronic Journal of Qualitative Theory of Differential Equations Pub Date : 2021-01-01 DOI: 10.14232/ejqtde.2021.1.92
Equations O. Boichuk, D. Bihun, V. Feruk, O. Pokutnyi
{"title":"Minimizing of the quadratic functional on Hopfield networks","authors":"\t\tEquations\t\t\tO. Boichuk, D. Bihun, V. Feruk, O. Pokutnyi","doi":"10.14232/ejqtde.2021.1.92","DOIUrl":"https://doi.org/10.14232/ejqtde.2021.1.92","url":null,"abstract":"In this paper, we consider the continuous Hopfield model with a weak interaction of network neurons. This model is described by a system of differential equations with linear boundary conditions. Also, we consider the questions of finding necessary and sufficient conditions of solvability and constructive construction of solutions of the given problem, which turn into solutions of the linear generating problem, as the parameter $varepsilon$ tends to zero. An iterative algorithm for finding solutions has been constructed. The problem of finding the extremum of the target functions on the given problem solution is considered. To minimize a functional, an accelerated method of conjugate gradients is used. Results are illustrated with examples for the case of three neurons.","PeriodicalId":50537,"journal":{"name":"Electronic Journal of Qualitative Theory of Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80174171","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
Infinitely many nodal solutions for a class of quasilinear elliptic equations 一类拟线性椭圆型方程的无穷多节点解
IF 1.1 4区 数学
Electronic Journal of Qualitative Theory of Differential Equations Pub Date : 2021-01-01 DOI: 10.14232/EJQTDE.2021.1.32
Xiaolong Yang
{"title":"Infinitely many nodal solutions for a class of quasilinear elliptic equations","authors":"Xiaolong Yang","doi":"10.14232/EJQTDE.2021.1.32","DOIUrl":"https://doi.org/10.14232/EJQTDE.2021.1.32","url":null,"abstract":"","PeriodicalId":50537,"journal":{"name":"Electronic Journal of Qualitative Theory of Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66581585","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
Infinitely many radial positive solutions for nonlocal problems with lack of compactness 缺乏紧性的非局部问题的无穷多径向正解
IF 1.1 4区 数学
Electronic Journal of Qualitative Theory of Differential Equations Pub Date : 2021-01-01 DOI: 10.14232/EJQTDE.2021.1.33
F. Zhou, Zifei Shen, V. Rǎdulescu
{"title":"Infinitely many radial positive solutions for nonlocal problems with lack of compactness","authors":"F. Zhou, Zifei Shen, V. Rǎdulescu","doi":"10.14232/EJQTDE.2021.1.33","DOIUrl":"https://doi.org/10.14232/EJQTDE.2021.1.33","url":null,"abstract":"","PeriodicalId":50537,"journal":{"name":"Electronic Journal of Qualitative Theory of Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66581628","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
A time-nonlocal inverse problem for a hyperbolic equation with an integral overdetermination condition 具有积分过定条件的双曲型方程的时间非局部反问题
IF 1.1 4区 数学
Electronic Journal of Qualitative Theory of Differential Equations Pub Date : 2021-01-01 DOI: 10.14232/EJQTDE.2021.1.28
Y. Mehraliyev, E. Azizbayov
{"title":"A time-nonlocal inverse problem for a hyperbolic equation with an integral overdetermination condition","authors":"Y. Mehraliyev, E. Azizbayov","doi":"10.14232/EJQTDE.2021.1.28","DOIUrl":"https://doi.org/10.14232/EJQTDE.2021.1.28","url":null,"abstract":"","PeriodicalId":50537,"journal":{"name":"Electronic Journal of Qualitative Theory of Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66581713","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: 7
Limit cycles of planar discontinuous piecewise linear Hamiltonian systems without equilibria separated by reducible cubics 平面不连续分段线性哈密顿系统的极限环
IF 1.1 4区 数学
Electronic Journal of Qualitative Theory of Differential Equations Pub Date : 2021-01-01 DOI: 10.14232/ejqtde.2021.1.69
R. Benterki, Jeidy Jimenez, J. Llibre
{"title":"Limit cycles of planar discontinuous piecewise linear Hamiltonian systems without equilibria separated by reducible cubics","authors":"R. Benterki, Jeidy Jimenez, J. Llibre","doi":"10.14232/ejqtde.2021.1.69","DOIUrl":"https://doi.org/10.14232/ejqtde.2021.1.69","url":null,"abstract":"Due to their applications to many physical phenomena during these last decades the interest for studying the discontinuous piecewise differential systems has increased strongly. The limit cycles play a main role in the study of any planar differential system, but to determine the maximum number of limits cycles that a class of planar differential systems can have is one of the main problems in the qualitative theory of the planar differential systems. Thus in general to provide a sharp upper bound for the number of crossing limit cycles that a given class of piecewise linear differential system can have is a very difficult problem. In this paper we characterize the existence and the number of limit cycles for the piecewise linear differential systems formed by linear Hamiltonian systems without equilibria and separated by a reducible cubic curve, formed either by an ellipse and a straight line, or by a parabola and a straight line parallel to the tangent at the vertex of the parabola. Hence we have solved the extended 16th Hilbert problem to this class of piecewise differential systems.","PeriodicalId":50537,"journal":{"name":"Electronic Journal of Qualitative Theory of Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66583339","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
The decay rates of solutions to a chemotaxis-shallow water system 趋化-浅水系统溶液的衰减率
IF 1.1 4区 数学
Electronic Journal of Qualitative Theory of Differential Equations Pub Date : 2021-01-01 DOI: 10.14232/EJQTDE.2021.1.17
Yanqiu Huang, Q. Tao
{"title":"The decay rates of solutions to a chemotaxis-shallow water system","authors":"Yanqiu Huang, Q. Tao","doi":"10.14232/EJQTDE.2021.1.17","DOIUrl":"https://doi.org/10.14232/EJQTDE.2021.1.17","url":null,"abstract":"","PeriodicalId":50537,"journal":{"name":"Electronic Journal of Qualitative Theory of Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66580356","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
λ-lemma for nonhyperbolic point in intersection 交中非双曲点的λ引理
IF 1.1 4区 数学
Electronic Journal of Qualitative Theory of Differential Equations Pub Date : 2021-01-01 DOI: 10.14232/EJQTDE.2021.1.21
M. Velayati
{"title":"λ-lemma for nonhyperbolic point in intersection","authors":"M. Velayati","doi":"10.14232/EJQTDE.2021.1.21","DOIUrl":"https://doi.org/10.14232/EJQTDE.2021.1.21","url":null,"abstract":"","PeriodicalId":50537,"journal":{"name":"Electronic Journal of Qualitative Theory of Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66581245","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 phase for flows with exponentially stable partially hyperbolic invariant manifolds 具有指数稳定部分双曲不变流形的流的渐近相位
IF 1.1 4区 数学
Electronic Journal of Qualitative Theory of Differential Equations Pub Date : 2021-01-01 DOI: 10.14232/EJQTDE.2021.1.36
A. Luchko, I. Parasyuk
{"title":"Asymptotic phase for flows with exponentially stable partially hyperbolic invariant manifolds","authors":"A. Luchko, I. Parasyuk","doi":"10.14232/EJQTDE.2021.1.36","DOIUrl":"https://doi.org/10.14232/EJQTDE.2021.1.36","url":null,"abstract":"","PeriodicalId":50537,"journal":{"name":"Electronic Journal of Qualitative Theory of Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66581422","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
3D incompressible flows with small viscosity around distant obstacles 三维不可压缩流与小粘度围绕远处障碍物
IF 1.1 4区 数学
Electronic Journal of Qualitative Theory of Differential Equations Pub Date : 2021-01-01 DOI: 10.14232/EJQTDE.2021.1.31
L. Viana
{"title":"3D incompressible flows with small viscosity around distant obstacles","authors":"L. Viana","doi":"10.14232/EJQTDE.2021.1.31","DOIUrl":"https://doi.org/10.14232/EJQTDE.2021.1.31","url":null,"abstract":"In this paper, we analyze the behavior of three-dimensional incompressible flows, with small viscosities ν > 0, in the exterior of material obstacles ΩR = Ω0 + (R, 0, 0), where Ω0 belongs to a class of smooth bounded domains and R > 0 is sufficiently large. Applying techniques developed by Kato, we prove an explicit energy estimate which, in particular, indicates the limiting flow, when both ν → 0 and R → ∞, as that one governed by the Euler equations in the whole space. According to this approach, it is natural to contrast our main result to that one already known in the literature for families of viscous flows in expanding domains.","PeriodicalId":50537,"journal":{"name":"Electronic Journal of Qualitative Theory of Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66581517","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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