On the Existence of Almost Automorphic Solutions to Some Abstract Hyperbolic Differential Equations

被引：0

作者：

Diagana, Toka ^{[1
]}

机构：

[1] Howard Univ, Dept Math, Washington, DC 20059 USA

来源：

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2010年 / 17卷 / 02期

关键词：

Sectorial operator; analytic semigroup; hyperbolic semigroup; almost automorphic function; heat equation with delay; ALMOST-PERIODIC-SOLUTIONS; PARTIAL EVOLUTION-EQUATIONS; INTEGRODIFFERENTIAL EQUATIONS; UNBOUNDED DELAY; UNIQUENESS;

D O I：

10.36045/bbms/1274896201

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we give some sufficient conditions, which do ensure the existence and uniqueness of a compact almost automorphic solution to some hyperbolic differential equations. As an illustration, we study the existence and uniqueness of almost automorphic solutions to a one-dimensional heat equation with small delays.

引用

页码：219 / 234

页数：16

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