Electron. J. Diff. Equ., Vol. 2016 (2016), No. 44, pp. 1-8.

Antiperiodic solutions for nth-order functional differential equations with infinite delay

Suzete M. Afonso, Andre L. Furtado

In this work, we establish the existence and uniqueness of antiperiodic solution for a class of nth-order functional differential equations with infinite delay. The main tool in our study is the coincidence degree theory. An example is presented to illustrate the results obtained.

Submitted November 14, 2015. Published February 2, 2016.
Math Subject Classifications: 32A70, 34A05, 34K13, 47H11.
Key Words: Antiperiodic solution; existence; uniqueness; coincidence degree; functional differential equation; infinite delay.

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Suzete M. Afonso
Univ Estadual Paulista
Instituto de Geociências e Ciências Exatas
13506-900, Rio Claro SP, Brasil
email: smafonso@rc.unesp.br
André L. Furtado
Departamento de Análise Matemática
Instituto de Matemática e Estatística
Universidade do Estado do Rio de Janeiro
Rio de Janeiro, Brasil
email: andre.furtado@ime.uerj.br

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