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Study of periodic and nonnegative periodic solutions of nonlinear neutral functional differential equations via fixed points
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Study of periodic and nonnegative periodic solutions of nonlinear neutral functional differential equations via fixed points

Mouataz Billah Mesmouli, Abdelouaheb Ardjouni and Ahcene Djoudi
Acta universitatis sapientiae. Mathematica, Vol.8(2), pp.255-270
01/12/2016
DOI: https://doi.org/10.1515/ausm-2016-0017

Abstract

34A12 34A37 35B09 35B10 45J05 integral equation Krasnoselskii-Burton’s theorem large contraction neutral differential equation periodic solution positive solution
In this paper, we study the existence of periodic and non-negative periodic solutions of the nonlinear neutral differential equation We invert this equation to construct a sum of a completely continuous map and a large contraction which is suitable for applying the modificatition of Krasnoselskii’s theorem. The Caratheodory condition is used for the functions Q and G.
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