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Periodic Solutions of Almost Linear Volterra Integro-dynamic Equations on Periodic Time Scales

Published online by Cambridge University Press:  20 November 2018

Youssef N. Raffoul
Youssef N. Raffoul*
Affiliation:
Department of Mathematics, University of Dayton, Dayton, OH 45469-2316 USA. e-mail: yraffoul1@udayton.edu
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Abstract

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Using Krasnoselskii’s fixed point theorem, we deduce the existence of periodic solutions of nonlinear system of integro-dynamic equations on periodic time scales. These equations are studied under a set of assumptions on the functions involved in the equations. The equations will be called almost linear when these assumptions hold. The results of this paper are new for the continuous and discrete time scales.

Keywords

45J0545D05Volterra integro-dynamic equationtime scalesKrasnoselsii’s fixed point theoremperiodic solution
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 58 , Issue 1 , 01 March 2015 , pp. 174 - 181
Copyright
Copyright © Canadian Mathematical Society 2015

References

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