| Non-linear Semigroup of a Class of Abstract Semilinear Functional Differential Equations with a Non-Dense Domain |
| |
| 作者姓名： | MostafaADIMY MostafaLAKLACH KhalilEZZINBI |
| |
| 作者单位： | [1]DépartementdeMathdmatiquesAppliquées,URS2055C.N.R.S,UniversitédePau,Avenuedel＇Université,64000Pau,France [2]DépartementdeMathématiques,FacultédesSciencesSemlalia,B.P.2390,Marrakesh,Morocco |
| |
| 摘 要： | In this work, we are concerned with a general class of abstract semilinear autonomous functional differential equations with a non-dense domain on a Banach space. Our objective is to study, using the Crandall-Liggett approach, the solutions as a semigroup of non-linear operators.
|
| 关 键 词： | 非线性半群 半线性微分方程 巴拿赫空间 收敛拓扑 |
| 收稿时间： | 13 March 2002 |
Non-linear Semigroup of a Class of Abstract Semilinear Functional Differential Equations with a Non-Dense Domain |
| |
| MostafaADIMY MostafaLAKLACH KhalilEZZINBI.Non-linear Semigroup of a Class of Abstract Semilinear Functional Differential Equations with a Non-Dense Domain[J].Acta Mathematica Sinica,2004,20(5):933-942. |
| |
| Authors: | Email author" target="_blank">Mostafa?AdimyEmail author Mostafa?Laklach Khalil?Ezzinbi |
| |
| Institution: | (1) Département de Mathématiques Appliquées, URS 2055 C.N.R.S, Université de Pau, Avenue de l’Université, 64000 Pau, France;(2) Département de Mathématiques, Faculté des Sciences Semlalia, B. P. 2390 Marrakesh, Marocco |
| |
| Abstract: | In this work, we are concerned with a general class of abstract semilinear autonomous functional differential equations with
a non-dense domain on a Banach space. Our objective is to study, using the Crandall-Liggett approach, the solutions as a semigroup
of non-linear operators. |
| |
| Keywords: | Non-linear semigroup Semilinear functional differential equation Hille-Yosida operator Crandall-Liggett approach |
| 本文献已被 维普 SpringerLink 等数据库收录！ |
