Toka Diagana
Abstract:
This paper studies some sufficient conditions for the existence and
uniqueness of a pseudo almost periodic mild solution to
abstract hyperbolic differential equations with infinite delay.
Applications include the existence and uniqueness of a pseudo
almost periodic mild solution to the heat equation.
Submitted May 29, 2006. Published July 19, 2006.
Math Subject Classifications: 34G20, 47A55.
Key Words: Sectorial operator; analytic semigroup; infinite delay;
hyperbolic semigroup; almost periodic; pseudo almost periodic;
heat equation.
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| Toka Diagana Department of Mathematics, Howard University 2441 6th Street N.W., Washington D.C. 20059, USA email: tdiagana@howard.edu |
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