Solutions to non-autonomous integrodifferential equations with infinite delay

被引：15

作者：

Chang, Jung-Chan ^{[1
]}

机构：

[1] I Shou Univ, Dept Appl Math, Kaohsiung 84008, Taiwan

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 331卷 / 01期

关键词：

non-autonomous integrodifferential equations; infinite delay; phase space; FUNCTIONAL-DIFFERENTIAL EQUATIONS; HYPERBOLIC-TYPE; EXISTENCE; STABILITY;

D O I：

10.1016/j.jmaa.2006.08.030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The conclusions of Da Prato and Sinestrari concerning the non-autonomous evolution operator of hyperbolic type for the equation u'(t) = A (t)u(t) + f(t), t is an element of [0,T], u(0) = z are applied to find the uniqueness and existence of solution to u'(t) = A(t)u(t) + integral(t)(0) K(t, theta, u (theta)) d theta + L(t)u(t) + f(t), t is an element of [0, T], u(0) = phi, where A(.) maybe nondensely defined. Moreover, some relative problems are concerned. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：137 / 151

页数：15

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