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.
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 methodintroduced by Ullah and Arshad (SpringerPlus, (2016)5:1616), is convergent strongly to the solution ofa nonlinear Volterra integral equation with delay in a complete metric space. Furthermore, we prove adata dependence result for the solution of this integral equation.
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