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

页码：198 / 212

页数：15

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