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Advances in Differential Equations最新文献

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Global dynamics of a mosquito population suppression model with seasonal switching 具有季节转换的蚊子种群抑制模型的全局动力学
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2023-01-01 DOI: 10.57262/ade028-1112-889
Yining Chen, Yufeng Wang, Jianshe Yu, Bo Zheng, Zhongcai Zhu
{"title":"Global dynamics of a mosquito population suppression model with seasonal switching","authors":"Yining Chen, Yufeng Wang, Jianshe Yu, Bo Zheng, Zhongcai Zhu","doi":"10.57262/ade028-1112-889","DOIUrl":"https://doi.org/10.57262/ade028-1112-889","url":null,"abstract":"","PeriodicalId":53312,"journal":{"name":"Advances in Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71111719","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Absence of collapse into persistent Dirac-type singularities in a Keller-Segel-Navier-Stokes system involving local sensing 涉及局部传感的Keller-Segel-Navier-Stokes系统中不坍缩为持久狄拉克型奇点
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2023-01-01 DOI: 10.57262/ade028-1112-921
M. Winkler
{"title":"Absence of collapse into persistent Dirac-type singularities in a Keller-Segel-Navier-Stokes system involving local sensing","authors":"M. Winkler","doi":"10.57262/ade028-1112-921","DOIUrl":"https://doi.org/10.57262/ade028-1112-921","url":null,"abstract":"","PeriodicalId":53312,"journal":{"name":"Advances in Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71111771","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 and stability for an abstract evolution equation with history memory and time delay in Hilbert space Hilbert空间中具有历史记忆和时滞的抽象演化方程的适定性和稳定性
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2023-01-01 DOI: 10.57262/ade028-1112-953
Houria Chellaoua, Y. Boukhatem, B. Feng
{"title":"Well-posedness and stability for an abstract evolution equation with history memory and time delay in Hilbert space","authors":"Houria Chellaoua, Y. Boukhatem, B. Feng","doi":"10.57262/ade028-1112-953","DOIUrl":"https://doi.org/10.57262/ade028-1112-953","url":null,"abstract":"","PeriodicalId":53312,"journal":{"name":"Advances in Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71111782","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Nonlinear Liouville-type theorems for generalized Baouendi-Grushin operator on Riemannian manifolds 黎曼流形上广义Baouendi-Grushin算子的非线性Liouville型定理
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2023-01-01 DOI: 10.57262/ade028-0102-143
M. Jleli, M. Ragusa, B. Samet
{"title":"Nonlinear Liouville-type theorems for generalized Baouendi-Grushin operator on Riemannian manifolds","authors":"M. Jleli, M. Ragusa, B. Samet","doi":"10.57262/ade028-0102-143","DOIUrl":"https://doi.org/10.57262/ade028-0102-143","url":null,"abstract":"","PeriodicalId":53312,"journal":{"name":"Advances in Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44589456","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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: 4
Multiple bump solutions to logarithmic scalar field equations 对数标量场方程的多重碰撞解
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2023-01-01 DOI: 10.57262/ade028-1112-981
Zhi-Qiang Wang, Chengxiang Zhang, Zhitao Zhang
{"title":"Multiple bump solutions to logarithmic scalar field equations","authors":"Zhi-Qiang Wang, Chengxiang Zhang, Zhitao Zhang","doi":"10.57262/ade028-1112-981","DOIUrl":"https://doi.org/10.57262/ade028-1112-981","url":null,"abstract":"","PeriodicalId":53312,"journal":{"name":"Advances in Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71111789","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Qualitative properties of singular solutions of Choquard equations Choquard方程奇异解的定性性质
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2023-01-01 DOI: 10.57262/ade028-0102-35
Huyuan Chen, F. Zhou
{"title":"Qualitative properties of singular solutions of Choquard equations","authors":"Huyuan Chen, F. Zhou","doi":"10.57262/ade028-0102-35","DOIUrl":"https://doi.org/10.57262/ade028-0102-35","url":null,"abstract":"","PeriodicalId":53312,"journal":{"name":"Advances in Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46988493","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Dynamics of a class of extensible beams with degenerate and non-degenerate nonlocal damping 一类具有简并和非简并非局部阻尼的可扩展梁的动力学
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2022-10-30 DOI: 10.57262/ade028-0708-685
E. Tavares, M. A. J. Silva, V. Narciso, A. Vicente
{"title":"Dynamics of a class of extensible beams with degenerate and non-degenerate nonlocal damping","authors":"E. Tavares, M. A. J. Silva, V. Narciso, A. Vicente","doi":"10.57262/ade028-0708-685","DOIUrl":"https://doi.org/10.57262/ade028-0708-685","url":null,"abstract":"This work is concerned with new results on long-time dynamics of a class of hyperbolic evolution equations related to extensible beams with three distinguished nonlocal nonlinear damping terms. In the first possibly degenerate case, the results feature the existence of a family of compact global attractors and a thickness estimate for their Kolmogorov's $varepsilon$-entropy. Then, in the non-degenerate context, the structure of the helpful nonlocal damping leads to the existence of finite-dimensional compact global and exponential attractors. Lastly, in a degenerate and critical framework, it is proved the existence of a bounded closed global attractor but not compact. To the proofs, we provide several new technical results by means of refined estimates that open up perspectives for a new branch of nonlinearly damped problems.","PeriodicalId":53312,"journal":{"name":"Advances in Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45051066","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Finite time extinction for a critically damped Schrödinger equation with a sublinear nonlinearity 具有次线性非线性的临界阻尼Schrödinger方程的有限时间消光
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2022-10-10 DOI: 10.57262/ade028-0304-311
Pascal B'egout, Jes'us Ildefonso D'iaz
{"title":"Finite time extinction for a critically damped Schrödinger equation with a sublinear nonlinearity","authors":"Pascal B'egout, Jes'us Ildefonso D'iaz","doi":"10.57262/ade028-0304-311","DOIUrl":"https://doi.org/10.57262/ade028-0304-311","url":null,"abstract":"This paper completes some previous studies by several authors on the finite time extinction for nonlinear Schr{\"o}dinger equation when the nonlinear damping term corresponds to the limit cases of some ``saturating non-Kerr law'' $F(|u|^2)u=frac{a}{varepsilon+(|u|^2)^alpha}u,$ with $ainmathbb{C},$ $varepsilongeqslant0,$ $2alpha=(1-m)$ and $min[0,1).$ Here we consider the sublinear case $0<m<1$ with a critical damped coefficient: $ainmathbb{C}$ is assumed to be in the set $D(m)=big{zinmathbb{C}; ; mathrm{Im}(z)>0 text{ and } 2sqrt{m}mathrm{Im}(z)=(1-m)mathrm{Re}(z)big}.$ Among other things, we know that this damping coefficient is critical, for instance, in order to obtain the monotonicity of the associated operator (see the paper by Liskevich and Perel'muter [16] and the more recent study by Cialdea and Maz'ya [14]). The finite time extinction of solutions is proved by a suitable energy method after obtaining appropiate a priori estimates. Most of the results apply to non-necessarily bounded spatial domains.","PeriodicalId":53312,"journal":{"name":"Advances in Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47570799","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Double phase obstacle problems with variable exponent 变指数双相障碍问题
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2022-09-01 DOI: 10.57262/ade027-0910-611
Shengda Zeng, Vicentiu D. Rădulescu, Patrick Winkert
{"title":"Double phase obstacle problems with variable exponent","authors":"Shengda Zeng, Vicentiu D. Rădulescu, Patrick Winkert","doi":"10.57262/ade027-0910-611","DOIUrl":"https://doi.org/10.57262/ade027-0910-611","url":null,"abstract":". This paper is devoted to the study of a quasilinear elliptic inclusion problem driven by a double phase differential operator with variable exponents, an obstacle effect and a multival-ued reaction term with gradient dependence. By using an existence result for mixed variational inequalities with multivalued pseudomonotone operators and the theory of nonsmooth analysis, we examine the nonemptiness, boundedness and closedness of the solution set to the problem under consideration. In the second part of the paper we present some convergence analysis for approximated problems. To be more precise, when the obstacle function is approximated by a suitable sequence, applying a generalized penalty technique, we introduce a family of perturbed problems without constraints associated to our problem and prove that the solution set of the original problem can be approached by the solution sets of the perturbed problems in the sense of Kuratowski.","PeriodicalId":53312,"journal":{"name":"Advances in Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44295310","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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: 9
On Chern-Simons-Schrödinger systems involving steep potential well and concave-convex nonlinearities 涉及陡势井和凹凸非线性的Chern-Simons-Schrödinger系统
IF 1.4 3区 数学
Advances in Differential Equations Pub Date : 2022-09-01 DOI: 10.57262/ade027-0910-543
Yingying Xiao, Chuanxi Zhu
{"title":"On Chern-Simons-Schrödinger systems involving steep potential well and concave-convex nonlinearities","authors":"Yingying Xiao, Chuanxi Zhu","doi":"10.57262/ade027-0910-543","DOIUrl":"https://doi.org/10.57262/ade027-0910-543","url":null,"abstract":"","PeriodicalId":53312,"journal":{"name":"Advances in Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48470568","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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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