Suzete M. Afonso, Andre L. Furtado
Abstract:
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 |
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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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