saujs

Sakarya University Journal of Science

2147-835X

Sakarya University

10.16984/saufenbilder.305632

Mathematical Sciences

Matematik

Gecikmeli lineer olmayan bir Volterra integral denkleminin çözümü

On the solution of a nonlinear Volterra integral equation with delay

Şahin

Aynur

Kalkan

Zeynep

Arısoy

Hakan

12 01 2017

21 6 1367 1376 04 11 2017 08 22 2017

1997

Sakarya University Journal of Science

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

In this paper, we show that theiterative sequence which is a simplified form of the iteration methodintroduced by Ullah and Arshad (SpringerPlus, (2016)5:1616), isconvergent strongly to the solution of a nonlinear Volterra integral equationwith delay in a complete metric space. Furthermore, we prove a data dependenceresult for the solution of this integral equation.

Volterra integral equations fixed point data dependence iteration methods

Volterra integral denklemleri Sabit nokta Veri bağımlılığı iterasyon metotları

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