| NONLOCAL INITIAL PROBLEM FOR NONLINEAR NONAUTONOMOUS DIFFERENTIAL EQUATIONS IN A BANACH SPACE |
| |
| 引用本文： | M.I.Gil＇. NONLOCAL INITIAL PROBLEM FOR NONLINEAR NONAUTONOMOUS DIFFERENTIAL EQUATIONS IN A BANACH SPACE[J]. Annals of Differential Equations, 2004, 20(2): 145-154 |
| |
| 作者姓名： | M.I.Gil＇ |
| |
| 作者单位： | Dept. of |
| |
| 基金项目： | This research was supported by the Kamea Fund |
| |
| 摘 要： | The nonlocal initial problem for nonlinear nonautonomous evolution equati-ons in a Banach space is considered. It is assumed that the nonlinearities havethe local Lipschitz properties. The existence and uniqueness of mild solutionsare proved. Applications to integro-differential equations are discussed.The main tool in the paper is the normalizing mapping (the generalizednorm).
|
| 关 键 词： | 非线性微分方程 巴拿赫空间 初始问题 存在性 唯一性 单位算子 |
NONLOCAL INITIAL PROBLEM FOR NONLINEAR NONAUTONOMOUS DIFFERENTIAL EQUATIONS IN A BANACH SPACE |
| |
| M I Gil Dept. of Math.,Ben Gurion University of the Negev P.O.Box ,Beer-Sheva Israel. NONLOCAL INITIAL PROBLEM FOR NONLINEAR NONAUTONOMOUS DIFFERENTIAL EQUATIONS IN A BANACH SPACE[J]. 微分方程年刊(英文版), 2004, 20(2): 145-154 |
| |
| Authors: | M I Gil Dept. of Math. Ben Gurion University of the Negev P.O.Box Beer-Sheva Israel |
| |
| Affiliation: | Dept.ofMath.,BenGurionUniversityoftheNegev,P.O.Box653,Beer-Sheva84105,Israel |
| |
| Abstract: | The nonlocal initial problem for nonlinear nonautonomous evolution equati-ons in a Banach space is considered. It is assumed that the nonlinearities havethe local Lipschitz properties. The existence and uniqueness of mild solutionsare proved. Applications to integro-differential equations are discussed.The main tool in the paper is the normalizing mapping (the generalizednorm). |
| |
| Keywords: | nonlinear evolution equations nonlocal initial problem integro-differential equations |
| 本文献已被 CNKI 维普 等数据库收录！ |
