摘要
利用一个新的比较结果和Monch不动点定理,研究了Banach空间非线性混合型微分一积分方程初值问题整体解的存在性.作为应用,得到了两类三阶方程混合边值问题的整体解.
In this paper, by the use of a new comparsion result and Monch fixed point theorem the existence of global solutions of initial value problem for nonlinear integro-differential equations of mixed type in Banach spaces is investigated. As an application of our result, the existence of global solutions for two classes of third order mixed boundary value problem is obtained.
出处
《系统科学与数学》
CSCD
北大核心
2000年第1期112-116,共5页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金
山东省自然科学基金
关键词
巴拿赫空间
微分积分方程
整体解
初值问题
Banach spaces, integro-differential equations of mixed type, measure of noncompactness.