An Application of Krasnoselskii Fixed Point Theorem to Some Nonlinear Functional Integral Equations

Öz

The purpose of this paper is to study the existence of solutions of some nonlinear functional integral equations in the space of continuous functions defined on interval  under some conditions. To do this, we will use Krasnoselskii Fixed Point Theorem and Ascoli-Arzela Theorem. Finally we will give an example to illustrate our result.

Anahtar Kelimeler

• Nonlinear Integral equations, Krasnoselskii Fixed Point Theorem, Ascoli-Arzela Theorem

Krasnoselskii Sabit Nokta Teoreminin Lineer Olmayan Bazı Fonksiyonel İntegral Denklemlere Uygulaması

Öz

Bu çalışmanın amacı [0, ] aralığı üzerinde tanımlı ve sürekli fonksiyonların uzayında, bazı kabuller altında lineer olmayan bazı fonksiyonel integral denklemlerin çözümlerinin varlığını araştırmaktır. Bunun için Krasnoselskii Sabit Nokta Teoremini ve AscoliArzela Teoremini kullanılacaktır. Son olarak elde edilen sonuçları açıklayıcı bir örnek verilecektir

Anahtar Kelimeler

• Lineer Olmayan İntegral Denklemler, Krasnoselskii Sabit Nokta Teoremi, Ascoli-Arzela Teoremi

Kaynakça

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