Positive solutions of second-order neutral differential equations with distributed deviating arguments

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Erciyes Üniversitesi Fen Bilimleri Enstitüsü Dergisi
Volume:34 Issue:1
Positive solutions of second-order neutral differential equations with distributed deviating argumen...

Positive solutions of second-order neutral differential equations with distributed deviating arguments

Authors : Bengü ÇINA, M Tamer Şenel

Pages : 22-26

View : 37 | Download : 19

Publication Date : 2018-04-30

Article Type : Research Paper

Abstract :In this study we shall obtain some sufficient conditions for the existence of positive solutions of variable coefficient nonlinear second order neutral differential equation with distributed deviating arguments. The main tool for proving our results is the Banach contraction principle. For this reason, we define a conversion and we show that it's a contraction transformation. The example at the end of the article is given to illustrate the effectiveness of our results. Our results improve and extend some existing results.
Keywords : Fixed point, Second order, Distributed deviating argument

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