AYNUR ŞAHİN, Zeynep KALKAN, Hakan ARISOY

On the solution of a nonlinear Volterra integral equation with delay

In this paper, we show that the iterative sequence which is a simplified form of the iteration method introduced by Ullah and Arshad (SpringerPlus, (2016)5:1616), is convergent strongly to the solution of a nonlinear Volterra integral equation with delay in a complete metric space. Furthermore, we prove a data dependence result for the solution of this integral equation.

Gecikmeli lineer olmayan bir Volterra integral denkleminin çözümü

Bu makalede, Ullah ve Arshad (SpringerPlus (2016)5:1616) tarafından tanımlanan iterasyon metodunun basitleştirilmiş hali olan bir iteratif dizisinin gecikmeli lineer olmayan bir Volterra integral denkleminin çözümüne kuvvetli yakınsadığı gösterilmiştir. Dahası bu integral denklemin çözümü için bir veri bağımlılığı sonucu ispatlanmıştır.

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