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Convergence rate in periodic homogenization of higher-order parabolic systems revisited 高阶抛物型系统周期均匀化的收敛速度
IF 1.4 4区 数学
Differential and Integral Equations Pub Date : 2022-09-01 DOI: 10.57262/die035-0910-531
Qing Meng, Weisheng Niu
{"title":"Convergence rate in periodic homogenization of higher-order parabolic systems revisited","authors":"Qing Meng, Weisheng Niu","doi":"10.57262/die035-0910-531","DOIUrl":"https://doi.org/10.57262/die035-0910-531","url":null,"abstract":"","PeriodicalId":50581,"journal":{"name":"Differential and Integral 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":"49127072","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
Analysis of diffusive size-structured population model with stochastic perturbation 具有随机扰动的扩散大小结构总体模型分析
IF 1.4 4区 数学
Differential and Integral Equations Pub Date : 2022-09-01 DOI: 10.57262/die035-0910-641
Manoj Kumar, S Z Abbas
{"title":"Analysis of diffusive size-structured population model with stochastic perturbation","authors":"Manoj Kumar, S Z Abbas","doi":"10.57262/die035-0910-641","DOIUrl":"https://doi.org/10.57262/die035-0910-641","url":null,"abstract":"","PeriodicalId":50581,"journal":{"name":"Differential and Integral 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":"48326930","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
An initial-boundary value problem for the two-dimensional rotating shallow water equations with axisymmetry 二维轴对称旋转浅水方程的初边值问题
IF 1.4 4区 数学
Differential and Integral Equations Pub Date : 2022-09-01 DOI: 10.57262/die035-0910-611
Yan-bo Hu, Yating Qian
{"title":"An initial-boundary value problem for the two-dimensional rotating shallow water equations with axisymmetry","authors":"Yan-bo Hu, Yating Qian","doi":"10.57262/die035-0910-611","DOIUrl":"https://doi.org/10.57262/die035-0910-611","url":null,"abstract":"","PeriodicalId":50581,"journal":{"name":"Differential and Integral 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":"44654329","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
On exponential stability of linear delay equations with oscillatory coefficients and kernels 具有振荡系数和核的线性时滞方程的指数稳定性
IF 1.4 4区 数学
Differential and Integral Equations Pub Date : 2022-08-18 DOI: 10.57262/die035-0910-559
L. Berezansky, Eric P. Braverman
{"title":"On exponential stability of linear delay equations with oscillatory coefficients and kernels","authors":"L. Berezansky, Eric P. Braverman","doi":"10.57262/die035-0910-559","DOIUrl":"https://doi.org/10.57262/die035-0910-559","url":null,"abstract":". New explicit exponential stability conditions are presented for the non-autonomous scalar linear functional differential equation where h k ( t ) ≤ t , g ( t ) ≤ t , a k ( · ) and the kernel K ( · , · ) are oscillatory and, generally, discontinuous functions. The proofs are based on establish-ing boundedness of solutions and later using the exponential dichotomy for linear equations stating that either the homogeneous equation is exponentially stable or a non-homogeneous equation has an unbounded solution for some bounded right-hand side. Explicit tests are applied to models of population dynamics, such as controlled Hutchinson and Mackey-Glass equations. The results are illustrated with numerical examples, and connection to known tests is discussed.","PeriodicalId":50581,"journal":{"name":"Differential and Integral Equations","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44817473","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: 4
Global bifurcation curve for fourth-order MEMS/NEMS models 四阶MEMS/NEMS模型的全局分岔曲线
IF 1.4 4区 数学
Differential and Integral Equations Pub Date : 2022-07-01 DOI: 10.57262/die035-0708-437
Tiantian Liu, Hongjing Pan
{"title":"Global bifurcation curve for fourth-order MEMS/NEMS models","authors":"Tiantian Liu, Hongjing Pan","doi":"10.57262/die035-0708-437","DOIUrl":"https://doi.org/10.57262/die035-0708-437","url":null,"abstract":"","PeriodicalId":50581,"journal":{"name":"Differential and Integral Equations","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44349922","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 a class of integral equations 一类积分方程解的存在性
IF 1.4 4区 数学
Differential and Integral Equations Pub Date : 2022-07-01 DOI: 10.57262/die035-0708-393
R. N. de Lima, Alânnio B. Nóbrega, M. Souto
{"title":"Existence of solutions for a class of integral equations","authors":"R. N. de Lima, Alânnio B. Nóbrega, M. Souto","doi":"10.57262/die035-0708-393","DOIUrl":"https://doi.org/10.57262/die035-0708-393","url":null,"abstract":"","PeriodicalId":50581,"journal":{"name":"Differential and Integral Equations","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47367242","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 and concentration of ground state solutions for a critical Kirchhoff type equation in $mathbb R^2$ $mathbb R^2$中临界Kirchhoff型方程基态解的存在性和浓度
IF 1.4 4区 数学
Differential and Integral Equations Pub Date : 2022-07-01 DOI: 10.57262/die035-0708-451
Jing Chen, Yiqing Li
{"title":"Existence and concentration of ground state solutions for a critical Kirchhoff type equation in $mathbb R^2$","authors":"Jing Chen, Yiqing Li","doi":"10.57262/die035-0708-451","DOIUrl":"https://doi.org/10.57262/die035-0708-451","url":null,"abstract":"","PeriodicalId":50581,"journal":{"name":"Differential and Integral Equations","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48075888","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
Multiplicity results for $p$-Kirchhoff modified Schrödinger equations with Stein-Weiss type critical nonlinearity in $mathbb R^N$ $p$-Kirchhoff修正Schrödinger方程在$mathbb R^N$中具有Stein-Weiss型临界非线性的多重性结果
IF 1.4 4区 数学
Differential and Integral Equations Pub Date : 2022-05-31 DOI: 10.57262/die036-0304-247
R. Biswas, Sarika Goyal, K. Sreenadh
{"title":"Multiplicity results for $p$-Kirchhoff modified Schrödinger equations with Stein-Weiss type critical nonlinearity in $mathbb R^N$","authors":"R. Biswas, Sarika Goyal, K. Sreenadh","doi":"10.57262/die036-0304-247","DOIUrl":"https://doi.org/10.57262/die036-0304-247","url":null,"abstract":". In this article, we consider the following modified quasilinear critical Kirchhoff-Schr¨odinger problem involving Stein-Weiss type nonlinearity: where λ > 0 is a parameter, N = 0 < µ < N , 0 < 2 β + µ < N , 2 ≤ q < 2 p ∗ . Here p ∗ = NpN − p is the Sobolev critical exponent and p ∗ β,µ := p 2 (2 N − 2 β − µ ) N − 2 is the critical exponent with respect to the doubly weighted Hardy-Littlewood-Sobolev inequality (also called Stein- Weiss type inequality). Then by establishing a concentration-compactness argument for our problem, we show the existence of infinitely many nontrivial solutions to the equations with respect to the parameter λ by using Krasnoselskii’s genus theory, symmetric mountain pass theorem and Z 2 - symmetric version of mountain pass theorem for different range of q . We further show that these solutions belong to L ∞ ( R N ).","PeriodicalId":50581,"journal":{"name":"Differential and Integral Equations","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44087334","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: 3
Prabhakar-type linear differential equations with variable coefficients 变系数prabhakar型线性微分方程
IF 1.4 4区 数学
Differential and Integral Equations Pub Date : 2022-05-25 DOI: 10.57262/die035-0910-581
A. Fernandez, J. Restrepo, D. Suragan
{"title":"Prabhakar-type linear differential equations with variable coefficients","authors":"A. Fernandez, J. Restrepo, D. Suragan","doi":"10.57262/die035-0910-581","DOIUrl":"https://doi.org/10.57262/die035-0910-581","url":null,"abstract":". Linear differential equations with variable coefficients and Prabhakar-type operators featuring Mittag-Leffler kernels are solved. In each case, the unique solution is constructed explicitly as a convergent infinite series involving compositions of Prabhakar fractional integrals. We also extend these results to Prabhakar operators with respect to functions. As an important illustrative example, we consider the case of constant coefficients, and give the solutions in a more closed form by using multivariate Mittag-Leffler functions.","PeriodicalId":50581,"journal":{"name":"Differential and Integral Equations","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42625401","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: 4
Existence of solutions for nonlinear elliptic equations modeling the steady flow of the antarctic circumpolar current 南极绕极流稳定流动非线性椭圆方程解的存在性
IF 1.4 4区 数学
Differential and Integral Equations Pub Date : 2022-05-01 DOI: 10.57262/die035-0506-277
Michal Feckan, Jinrong Wang, Wenlin Zhang
{"title":"Existence of solutions for nonlinear elliptic equations modeling the steady flow of the antarctic circumpolar current","authors":"Michal Feckan, Jinrong Wang, Wenlin Zhang","doi":"10.57262/die035-0506-277","DOIUrl":"https://doi.org/10.57262/die035-0506-277","url":null,"abstract":"","PeriodicalId":50581,"journal":{"name":"Differential and Integral Equations","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43872931","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
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