CUBO A Mathematical Journal Vol.12, N° 03, (153–165). October 2010

 

Existence of Periodic Solutions for a Class of Second-Order Neutral Differential Equations with Multiple Deviating Arguments¹

 

CHENGJUN GUO, DONAL O’REGAN AND RAVI P. AGARWAL

School of Applied Mathematics, Guangdong, University of Technology 510006, P.R.China email: guochj817@163.com

Department of mathematics, National University of Ireland, Galway, Ireland email: donal.oregan@nuigalway.ie

Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, Florida 32901, USA email: agarwal@fit.ed

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ABSTRACT

Using Kranoselskii fixed point theorem and Mawhin’s continuation theorem we establish the existence of periodic solutions for a second order neutral differential equation with multiple deviating arguments.

Key words and phrases: Periodic solution, Multiple deviating arguments, Neutral differential equation, Kranoselskii fixed point theorem, Mawhin’s continuation theorem.

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RESUMEN

Usando el teorema del punto fijo de Kranoselskii y el teorema de continuación de Mawhin establecemos la existencia de soluciones periódicas de una ecuación diferencial neutral de segundo orden con argumento de desviación multiple.

Math. Subj. Class.: 34K15; 34C25.

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Notas

¹This project is supported by grant 10871213 from NNSF of China, by grant 06021578 from NSF of Guangdong

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