Electronic Journal of Qualitative Theory of Differential Equations最新文献

{"title":"Multiple positive solutions for singular anisotropic Dirichlet problems","authors":"Zhenhai Liu, N. Papageorgiou","doi":"10.14232/ejqtde.2021.1.47","DOIUrl":"https://doi.org/10.14232/ejqtde.2021.1.47","url":null,"abstract":"","PeriodicalId":50537,"journal":{"name":"Electronic Journal of Qualitative Theory of Differential Equations","volume":"1 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66582360","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}

{"title":"Oscillatory solutions of Emden-Fowler type differential equation","authors":"M. Bartusek, Z. Došlá, M. Marini","doi":"10.14232/ejqtde.2021.1.54","DOIUrl":"https://doi.org/10.14232/ejqtde.2021.1.54","url":null,"abstract":"The paper deals with the coexistence between the oscillatory dynamics and the nonoscillatory one for a generalized super-linear Emden-Fowler differential equation. In particular, the coexistence of infinitely many oscillatory solutions with unbounded positive solutions are proved. The asymptotics of the unbounded positive solutions are described as well.","PeriodicalId":50537,"journal":{"name":"Electronic Journal of Qualitative Theory of Differential Equations","volume":"1 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66582893","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}

{"title":"Bistable equation with discontinuous density dependent diffusion with degenerations and singularities","authors":"P. Drábek, Michaela Zahradníková","doi":"10.14232/ejqtde.2021.1.61","DOIUrl":"https://doi.org/10.14232/ejqtde.2021.1.61","url":null,"abstract":"","PeriodicalId":50537,"journal":{"name":"Electronic Journal of Qualitative Theory of Differential Equations","volume":"1 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66583199","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}

{"title":"New results on the existence of ground state solutions for generalized quasilinear Schrödinger equations coupled with the Chern–Simons gauge theory","authors":"Yingying Xiao, Chuanxi Zhu","doi":"10.14232/ejqtde.2021.1.73","DOIUrl":"https://doi.org/10.14232/ejqtde.2021.1.73","url":null,"abstract":"<jats:p>In this paper, we study the following quasilinear Schrödinger equation <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"> <mml:mtable columnalign=\"right left\" rowspacing=\"3pt\" columnspacing=\"0em\" displaystyle=\"true\"> <mml:mtr> <mml:mtd> <mml:mo>−<!-- − --></mml:mo> <mml:mi mathvariant=\"normal\">Δ<!-- Δ --></mml:mi> <mml:mi>u</mml:mi> </mml:mtd> <mml:mtd> <mml:mi /> <mml:mo>+</mml:mo> <mml:mi>V</mml:mi> <mml:mo stretchy=\"false\">(</mml:mo> <mml:mi>x</mml:mi> <mml:mo stretchy=\"false\">)</mml:mo> <mml:mi>u</mml:mi> <mml:mo>−<!-- − --></mml:mo> <mml:mi>κ<!-- κ --></mml:mi> <mml:mi>u</mml:mi> <mml:mi mathvariant=\"normal\">Δ<!-- Δ --></mml:mi> <mml:mo stretchy=\"false\">(</mml:mo> <mml:msup> <mml:mi>u</mml:mi> <mml:mn>2</mml:mn> </mml:msup> <mml:mo stretchy=\"false\">)</mml:mo> <mml:mo>+</mml:mo> <mml:mi>μ<!-- μ --></mml:mi> <mml:mfrac> <mml:mrow> <mml:msup> <mml:mi>h</mml:mi> <mml:mn>2</mml:mn> </mml:msup> <mml:mo stretchy=\"false\">(</mml:mo> <mml:mrow class=\"MJX-TeXAtom-ORD\"> <mml:mo stretchy=\"false\">|</mml:mo> </mml:mrow> <mml:mi>x</mml:mi> <mml:mrow class=\"MJX-TeXAtom-ORD\"> <mml:mo stretchy=\"false\">|</mml:mo> </mml:mrow> <mml:mo stretchy=\"false\">)</mml:mo> </mml:mrow> <mml:mrow> <mml:mrow class=\"MJX-TeXAtom-ORD\"> <mml:mo stretchy=\"false\">|</mml:mo> </mml:mrow> <mml:mi>x</mml:mi> <mml:msup> <mml:mrow class=\"MJX-TeXAtom-ORD\"> <mml:mo stretchy=\"false\">|</mml:mo> </mml:mrow> <mml:mn>2</mml:mn> </mml:msup> </mml:mrow> </mml:mfrac> <mml:mo stretchy=\"false\">(</mml:mo> <mml:mn>1</mml:mn> <mml:mo>+</mml:mo> <mml:mi>κ<!-- κ --></mml:mi> <mml:msup> <mml:mi>u</mml:mi> <mml:mn>2</mml:mn> </mml:msup> <mml:mo stretchy=\"false\">)</mml:mo> <mml:mi>u</mml:mi> </mml:mtd> </mml:mtr> <mml:mtr> <mml:mtd /> <mml:mtd> <mml:mi /> <mml:mo>+</mml:mo> <mml:mi>μ<!-- μ --></mml:mi> <mml:mrow> <mml:mo>(</mml:mo> <mml:mrow> <mml:msubsup> <mml:mo>∫<!-- ∫ --></mml:mo> <mml:mrow class=\"MJX-TeXAtom-ORD\"> <mml:mrow class=\"MJX-TeXAtom-ORD\"> <mml:mo stretchy=\"false\">|</mml:mo> </mml:mrow> <mml:mi>x</mml:mi> <mml:mrow class=\"MJX-TeXAtom-ORD\"> <mml:mo stretchy=\"false\">|</mml:","PeriodicalId":50537,"journal":{"name":"Electronic Journal of Qualitative Theory of Differential Equations","volume":"1 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66583477","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}

{"title":"Attractivity analysis on a neoclassical growth system incorporating\u0000 patch structure and multiple pairs of time-varying delays","authors":"\t\tEquations\t\t\tQian Cao","doi":"10.14232/ejqtde.2021.1.76","DOIUrl":"https://doi.org/10.14232/ejqtde.2021.1.76","url":null,"abstract":"In this paper, we focus on the global dynamics of a neoclassical growth system incorporating patch structure and multiple pairs of time-varying delays. Firstly, we prove the global existence, positiveness and boundedness of solutions for the addressed system. Secondly, by employing some novel differential inequality analyses and the fluctuation lemma, both delay-independent and delay-dependent criteria are established to ensure that all solutions are convergent to the unique positive equilibrium point, which supplement and improve some existing results. Finally, some numerical examples are afforded to illustrate the effectiveness and feasibility of the theoretical findings.","PeriodicalId":50537,"journal":{"name":"Electronic Journal of Qualitative Theory of Differential Equations","volume":"51 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91274713","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}

{"title":"Rectifiability of orbits for two-dimensional nonautonomous differential systems","authors":"M. Onitsuka, Satoshi Tanaka","doi":"10.14232/EJQTDE.2021.1.18","DOIUrl":"https://doi.org/10.14232/EJQTDE.2021.1.18","url":null,"abstract":"","PeriodicalId":50537,"journal":{"name":"Electronic Journal of Qualitative Theory of Differential Equations","volume":"1 1","pages":"1-23"},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66580426","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}

{"title":"Corrigendum to \"Topological entropy for impulsive differential equations\" [Electron. J. Qual. Theory Differ. Equ. 2020, No. 68, 1–15]","authors":"J. Andres","doi":"10.14232/EJQTDE.2021.1.19","DOIUrl":"https://doi.org/10.14232/EJQTDE.2021.1.19","url":null,"abstract":"","PeriodicalId":50537,"journal":{"name":"Electronic Journal of Qualitative Theory of Differential Equations","volume":"1 1","pages":"1-3"},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66580507","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}

{"title":"Existence, uniqueness and qualitative properties of heteroclinic solutions to nonlinear second-order ordinary differential equations","authors":"M. Pei, Libo Wang, Xuezhe Lv","doi":"10.14232/EJQTDE.2021.1.1","DOIUrl":"https://doi.org/10.14232/EJQTDE.2021.1.1","url":null,"abstract":"","PeriodicalId":50537,"journal":{"name":"Electronic Journal of Qualitative Theory of Differential Equations","volume":"1 1","pages":"1-21"},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66580616","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}

{"title":"Explicit solution and dynamical properties of atmospheric Ekman flows with boundary conditions","authors":"Y. Guan, Jinrong Wang, Michal Feckan","doi":"10.14232/EJQTDE.2021.1.30","DOIUrl":"https://doi.org/10.14232/EJQTDE.2021.1.30","url":null,"abstract":"","PeriodicalId":50537,"journal":{"name":"Electronic Journal of Qualitative Theory of Differential Equations","volume":"1 1","pages":"1-19"},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66581454","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}

{"title":"A saddle point type solution for a system of operator equations","authors":"Piotr Kowalski","doi":"10.14232/ejqtde.2021.1.75","DOIUrl":"https://doi.org/10.14232/ejqtde.2021.1.75","url":null,"abstract":"<jats:p>Let <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"> <mml:mrow><mml:mi>Ω</mml:mi><mml:mo>⊂</mml:mo><mml:msup><mml:mrow><mml:mstyle mathvariant=\"double-struck\"><mml:mrow><mml:mi>R</mml:mi></mml:mrow></mml:mstyle></mml:mrow><mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:mrow></mml:msup></mml:mrow></mml:math> n>1 and let <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"> <mml:mrow><mml:mi>p</mml:mi><mml:mi>,</mml:mi><mml:mi>q</mml:mi><mml:mo>≥</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:math>. We consider the system of nonlinear Dirichlet problems <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" xmlns=\"http://www.w3.org/1998/Math/MathML\" display=\"block\"> <mml:mrow><mml:mspace linebreak=\"newline\" /><mml:mi>e</mml:mi><mml:mi>q</mml:mi><mml:mi>u</mml:mi><mml:mi>a</mml:mi><mml:mi>t</mml:mi><mml:mi>i</mml:mi><mml:mi>o</mml:mi><mml:mi>n</mml:mi><mml:mo>*</mml:mo></mml:mrow><mml:mrow> <mml:mfenced open=\"{\" close=\" \"><mml:mrow><mml:mi>b</mml:mi><mml:mi>r</mml:mi><mml:mi>a</mml:mi><mml:mi>c</mml:mi><mml:mi>e</mml:mi><mml:mtable columnalign=\"left\"><mml:mtr><mml:mtd><mml:mrow><mml:mo>(</mml:mo><mml:mi>A</mml:mi><mml:mi>u</mml:mi><mml:mo>)</mml:mo><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:msubsup><mml:mrow><mml:mi>N</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mi>u</mml:mi></mml:mrow></mml:mrow><mml:mrow><mml:mrow><mml:mi>′</mml:mi></mml:mrow></mml:mrow></mml:msubsup><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mi>,</mml:mi><mml:mi>u</mml:mi><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>)</mml:mo><mml:mi>,</mml:mi><mml:mi>v</mml:mi><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>)</mml:mo><mml:mo>)</mml:mo><mml:mi>,</mml:mi></mml:mrow></mml:mtd><mml:mtd><mml:mrow /></mml:mtd><mml:mtd><mml:mrow><mml:mi>x</mml:mi><mml:mo>∈</mml:mo><mml:mi>Ω</mml:mi><mml:mi>,</mml:mi></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow /></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow /></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mi>r</mml:mi><mml:mo>-</mml:mo><mml:mo>(</mml:mo><mml:mi>B</mml:mi><mml:mi>v</mml:mi><mml:mo>)</mml:mo><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:msubsup><mml:mrow><mml:mi>N</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mi>v</mml:mi></mml:mrow></mml:mrow><mml:mrow><mml:mrow><mml:mi>′</mml:mi></mml:mrow></mml:mrow></mml:msubsup><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mi>,</mml:mi><mml:mi>u</mml:mi><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>)</mml:mo><mml:mi>,</mml:mi><mml:mi>v</mml:mi><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>)</mml:mo><mml:mo>)</mml:mo><mml:mi>,</mml:mi></mml:mrow></mml:mtd><mml:mtd><mml:mrow /></mml:mtd><mml:mtd><mml:mrow><mml:mi>x</mml:mi><mml:mo>∈</mml:mo><mml:mi>Ω</mml:mi><mml:mi>,</mml:mi></mml:mrow></mml:mtd></mml:mtr><mml:mtr","PeriodicalId":50537,"journal":{"name":"Electronic Journal of Qualitative Theory of Differential Equations","volume":"1 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66583180","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}