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

作     者：Amor Rebey 

作者机构：Department of Mathematics College of Science and Human Studies at Hotat Sudair Majmaah UniversityAl-Majmaah 11952Saudi Arabia ISMAIKKairouan UniversityTunisia 

出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)

年 卷 期：2019年第12卷第8期

页      面：127-141页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Deanship of Scientific Research at Majmaah University for supporting this work under Project Number No.R-1441-27 

主　　题：Evolution family mild solution exponential dichotomy admissibility of function spaces stable manifolds 

摘      要：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.