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

作　　者：Amor Rebey 

机构地区：[1]Department of Mathematics College of Science and Human Studies at Hotat Sudair Majmaah University,Al-Majmaah 11952,Saudi Arabia [2]ISMAIK,Kairouan University,Tunisia

出　　处：《International Journal of Biomathematics》2019年第8期127-141,共15页生物数学学报（英文版）

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

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 spaces.The 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 

分 类 号：O17[理学—数学]