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${\mathcal{S}}$-ASYMPTOTICALLY PERIODIC SOLUTIONS FOR ABSTRACT EQUATIONS WITH STATE-DEPENDENT DELAY

Published online by Cambridge University Press:  15 August 2018

EDUARDO HERNÁNDEZ*
Affiliation:
Departamento de Computação e Matemática, Faculdade de Filosofia Ciências e Letras de Ribeirão Preto, Universidade de São Paulo, CEP 14040-901 Ribeirão Preto, SP, Brazil email lalohm@ffclrp.usp.br
MICHELLE PIERRI
Affiliation:
Departamento de Computação e Matemática, Faculdade de Filosofia Ciências e Letras de Ribeirão Preto, Universidade de São Paulo, CEP 14040-901 Ribeirão Preto, SP, Brazil email michellepierri@ffclrp.usp.br
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Abstract

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We study the existence and uniqueness of ${\mathcal{S}}$-asymptotically periodic solutions for a general class of abstract differential equations with state-dependent delay. Some examples related to problems arising in population dynamics are presented.

Type
Research Article
Copyright
© 2018 Australian Mathematical Publishing Association Inc. 

Footnotes

The work of the first author was supported by São Paulo Research Foundation (FAPESP), grant number 2017/13145-8.

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