Gecikmeli lineer olmayan bir Volterra integral denkleminin çözümü

Year 2017, Volume: 21 Issue: 6, 1367 - 1376, 01.12.2017

Aynur Şahin , Zeynep Kalkan , Hakan Arısoy

https://doi.org/10.16984/saufenbilder.305632

Cited By: 1

Abstract

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.

Keywords

Volterra integral denklemleri, Sabit nokta, Veri bağımlılığı, iterasyon metotları

On the solution of a nonlinear Volterra integral equation with delay

Abstract

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.

Keywords

Volterra integral equations, fixed point, data dependence, iteration methods

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