检索结果-南通市图书馆

Existence of local stable manifolds for some nondensely defined nonautonomous partial functional differential equations

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

International Journal of Biomathematics 2019年第8期12卷 127-141页

作者： Amor Rebey Department of Mathematics College of Science and Human Studies at Hotat Sudair Majmaah University Al-Majmaah 11952Saudi Arabia ISMAIK Kairouan UniversityTunisia

In this paper,we establish the existence of local stable manifolds for a semi-linear differential equation,where the linear part is a Hille-Yosida operator on a Banach space and the nonlinear forcing term f satisfies the ψ-Lipschitz conditions,where ψ belongs to certain classes of admissible function *** approach being used is the fixed point arguments and the characterization of the exponential dichotomy of evolution equations in admissible spaces of functions defined on the positive half-line.

关键词： evolution family mild solution exponential dichotomy admissibility of function spaces stable manifolds

Review and Study of Some Doubly-Weighted Pseudo-almost Periodic Solutions of Some Partial evolution Equations

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Journal of Partial Differential Equations 2017年第1期30卷 11-30页

作者： BAAZAOUI Riadh Department of Mathematics Faculty of Sciences of Tunis University Tunis EI-Manar1060 Tunis Tunisia.

In this work, a characterization of the doubly-weighted Bohr spectrum of an almost periodic function is given. We showed precisely that such a spectrum is either empty or coincides with the Bohr spectrum of that function. Next, we investigate the existence of doubly-weighted pseudo-almost periodic solutions to some classes of non-autonomous partial evolution equations.

关键词： evolution family exponential dichotomy acquistapace and Terreni conditions doublyweighted pseudo-almost periodic evolution equation nonautonomous equation.

Existence of μ-Pseudo Almost Periodic Solutions to Some Classes of Nonautonomous Partial evolution Equations

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Journal of Partial Differential Equations 2018年第1期31卷 1-16页

作者： BAAZAOUI Riadh Department of Mathematics Faculty of Sciences of Tunis University TunisEI-Manar 1060 Tunis Tunisia.

In this paper, we use a recent works [5], where the authors provide a new ap-proach for pseudo almost periodic solution under the measure theory, under Acquistpace-Terreni conditions, we make extensive use of interpolation spaces and exponential di-chotomy techniques to obtain the existence of μ-pseudo almost periodic solutions tosome classes of nonautonomous partial evolution equations.

关键词： evolution family exponential dichotomy Acquistapace and Terreni conditions al-most periodic pseudo almost periodic under the light measure evolution equation nonau-tonomous equation.

Existence of Solutions for a Non-Autonomous evolution Equations with Nonlocal Conditions

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Journal of Applied Mathematics and Physics 2023年第12期11卷 4079-4091页

作者： Lixin Sheng Weimin Hu Youhui Su Yongzhen Yun School of Mathematics and Statistics Yili Normal University Yining China School of Mathematics and Statistics Xuzhou University of Technology Xuzhou China Institute of Applied Mathematics Yili Normal University Yining China

The existence of mild solutions for non-autonomous evolution equations with nonlocal conditions in Banach space is studied in this article. We obtained the existence of at least one mild solution to the evolution equations by using Krasnoselskii’s fixed point theorem as well as the theory of the evolution family. The interest of this paper is that any assumptions are not imposed on the nonlocal terms and Green’s functions and a new alternative method is applied to prove the existence of mild solutions. The results obtained in this paper may improve some related conclusions on this topic. An example is given as an application of the results.

关键词： Non-Autonomous evolution Equation Nonlocal Conditions Mild Solution evolution family

Exponential Stability of Quasi-Linear Non-Autonomous Differential Equations in Banach Spaces

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Exponential Stability of Quasi-Linear Non-Autonomous Differe...