T. Diagana: Existence of pseudo almost periodic solutions to some classes of partial hyperbolic evolution equations

Existence of pseudo almost periodic solutions to some classes of partial hyperbolic evolution equations

T. Diagana, Horward University, Washington, DC, U.S.A.

E. J. Qualitative Theory of Diff. Equ., No. 3. (2007), pp. 1-12.

Communicated by S. K. Ntouyas.

Received on 2006-08-06
Appeared on 2007-02-05

Abstract: The paper examines the existence of pseudo almost periodic solutions to some classes of partial hyperbolic evolution equations. Namely, some sufficient conditions for the existence and uniqueness of pseudo almost periodic solutions to those classes of hyperbolic evolution equations are given. As an application, we consider the existence of pseudo almost periodic solutions to the heat equations with delay.

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