ABSTRACT NON-LINEAR VOLTERRA EQUATION

被引：11
作者：
GRIPENBERG, G [1 ]
机构：
[1] UNIV WISCONSIN,DEPT MATH,MADISON,WI 53706
来源：
ISRAEL JOURNAL OF MATHEMATICS | 1979年 / 34卷 / 03期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1007/BF02760883
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The existence, uniqueness, regularity and dependence upon data of solutions of the abstract Volterra equation u(t)+∫ 0 t a(t-s)A(u(s))ds∈f(t), t≧0 are studied in a real Banach space. The nonlinear operator A is assumed to be m-accretive and the assumptions on the kernel a do not exclude the possibility that lim t→0+ a(t)=+∞. © 1979 Hebrew University.
引用
收藏
页码：198 / 212
页数：15
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