摘要
本文在Barsach空间E中考虑Volterra型非线性积分方程局部解的存在性,通过构造适当的紧子集Ω(?)E和非空、闭的有界凸集(?)为某一区间),应用Schauder不动点定理,证明了文[1]定理5.5.1中条件(A_2)是多余的。
In this paper,we consider the local existence of solutions of nonlinear integral equations of Volterra type in a Banach space E.By constructing a properly compact subset(?)and nonempty closed and bounded convex set(?)(J_0being an interval),we prove that the condition(A2)in theorem 5.5.1 of [1] can be cancelled by using the fixed point principle of schauder.
出处
《山东师范大学学报（自然科学版）》
CAS
1991年第3期17-19,24,共4页
Journal of Shandong Normal University(Natural Science)
