On the Existence of Almost Automorphic Solutions to Some Abstract Hyperbolic Differential Equations
Toka Diagana
Source: Bull. Belg. Math. Soc. Simon Stevin Volume 17, Number 2
(2010), 219-234.
Abstract
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.
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Keywords: Sectorial operator; analytic semigroup; hyperbolic semigroup; almost automorphic function; heat equation with delay
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.bbms/1274896201
Mathematical Reviews number (MathSciNet): MR2663467
Zentralblatt MATH identifier: 1194.35274
Bulletin of the Belgian Mathematical Society - Simon Stevin
