Nonlinear partial functional differential equations: Existence and stability

被引：16

作者：

Caraballo, T ^{[1
]}

机构：

[1] Univ Sevilla, Dpto Ecuac Diferenciales & Anal Numer, E-41080 Seville, Spain

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2001年 / 262卷 / 01期

关键词：

partial differential equation; partial functional differential equation; exponential stability;

D O I：

10.1006/jmaa.2001.7545

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Existence and uniqueness of solutions for a class of nonlinear functional differential equations in Hilbert spaces are established. Sufficient conditions which guarantee the transference of exponential stability from partial differential equations to partial functional differential equations are studied. The stability results derived are applied also to ordinary differential equations with hereditary characteristics. (C) 2001 Academic Press.

引用

页码：87 / 111

页数：25