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EXISTENCE OF S-ASYMPTOTICALLY ω-PERIODIC SOLUTIONS FOR ABSTRACT NEUTRAL EQUATIONS

Part of: Miscellaneous topics - Partial differential equations Functional-differential and differential-difference equations

Published online by Cambridge University Press:  01 December 2008

HERNÁN R. HENRÍQUEZ ,
MICHELLE PIERRI  and
PLÁCIDO TÁBOAS
HERNÁN R. HENRÍQUEZ
Affiliation:
Departamento de Matemática, Universidad de Santiago, USACH, Casilla 307, Correo-2, Santiago, Chile (email: hernan.henriquez@usach.cl)
MICHELLE PIERRI*
Affiliation:
Departamento de Matemática, I.C.M.C. Universidade de São Paulo, Caixa Postal 668, 13560-970, São Carlos SP, Brazil (email: michelle@icmc.sc.usp.br)
PLÁCIDO TÁBOAS
Affiliation:
Departamento de Matemática Aplicada e Estatística, I.C.M.C. Universidade de São Paulo, Caixa Postal 668, 13560-970, São Carlos SP, Brazil (email: pztaboas@icmc.sc.usp.br)
*
✉For correspondence; e-mail: michelle@icmc.sc.usp.br
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Abstract

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A bounded continuous function is said to be S-asymptotically ω-periodic if . This paper is devoted to study the existence and qualitative properties of S-asymptotically ω-periodic mild solutions for some classes of abstract neutral functional differential equations with infinite delay. Furthermore, applications to partial differential equations are given.

Keywords

neutral functional differential equationsalmost periodic functions

MSC classification

Secondary: 34K40: Neutral equations 35R10: Partial functional-differential equations 34K14: Almost and pseudo-periodic solutions
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 78 , Issue 3 , December 2008 , pp. 365 - 382
Copyright
Copyright © 2009 Australian Mathematical Society

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