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ON PSEUDO $ \mathcal{S} $-ASYMPTOTICALLY PERIODIC FUNCTIONS

Published online by Cambridge University Press:  30 January 2013

MICHELLE PIERRI  and
VANESSA ROLNIK
MICHELLE PIERRI*
Affiliation:
Departamento de Computação e Matemática da Faculdade de Filosofia Ciências e Letras, de Ribeirão Preto. Universidade de São Paulo, Ribeirão Preto, SP, Brazil
VANESSA ROLNIK
Affiliation:
Departamento de Computação e Matemática da Faculdade de Filosofia Ciências e Letras, de Ribeirão Preto. Universidade de São Paulo, Ribeirão Preto, SP, Brazil email vanessarolnik@ffclrp.usp.br
*
✉michellepierri@ffclrp.usp
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Abstract

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We introduce the concept of pseudo $ \mathcal{S} $-asymptotically periodic functions and study some of the qualitative properties of functions of this type. In addition, we discuss the existence of pseudo $ \mathcal{S} $-asymptotically periodic mild solutions for abstract neutral functional differential equations. Some applications involving ordinary and partial differential equations with delay are presented.

Keywords

pseudo 𝓢-asymptotically periodic functions𝓢-asymptotically periodic functionasymptotically periodic functionneutral equationmild solution
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 87 , Issue 2 , April 2013 , pp. 238 - 254
Copyright
Copyright ©2013 Australian Mathematical Publishing Association Inc.

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