非线性发展方程非局部初值问题解的存在性  

Existence of Solutions for Nonlinear EvolUtion Equation with Nonlocal Initial Data

作　　者：王远弟[1] 

机构地区：[1]上海交通大学应用数学系,上海200030

出　　处：《应用数学》1998年第3期65-69,共5页Mathematica Applicata

摘　　要：本文讨论非线性方程的非局部初值问题，利用半群理论、单调算子理论以及Banach不动点定理，分别得到两个问题的温和解和弱解的存在唯一性定理．The aim of this paper is to give two theorems about the existence of solutions of nonlocal Cauchy problem for a nonlinear evolution equation. The method of semigroups, monotonicity method and Banach fixed point theorem are used to prove the existence and uniqueness of solutions of the problem.

关 键 词：非线性 发展方程 非局部问题 存在性 初值问题 

分 类 号：O175.14[理学—数学]