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

Yıl 2018, Cilt: 34 Sayı: 1, 22 - 26, 30.04.2018

Bengü Çına , M. Tamer Şenel

Öz

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.

Anahtar Kelimeler

Fixed point, Second-order, , Distributed deviating argument

Kaynakça

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