NONLOCAL INITIAL PROBLEM FOR NONLINEAR NONAUTONOMOUS DIFFERENTIAL EQUATIONS IN A BANACH SPACE

• 作者: M.I.Gil＇
• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 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
• 年，卷（期）: 2004,（2）
• 页码范围: 145-154
• 页数: 10页
• 分类号: O177.2

摘要

The nonlocal initial problem for nonlinear nonautonomous evolution equations in a Banach space is considered. It is assumed that the nonlinearities have the local Lipschitz properties. The existence and uniqueness of mild solutions are proved. Applications to integro-differential equations are discussed. The main tool in the paper is the normalizing mapping (the generalized norm).