On the weakly singular integro-differential nonlinear Volterra equation depending in acceleration term

被引：0
作者：
Mourad Ghiat
Hamza Guebbai
Muhammet Kurulay
Sami Segni
机构：
[1] Université 8 Mai 1945 Guelma Laboratoire de Mathématiques Appliquées et de Modélisation,
[2] Yildiz Teknik Universitesi,undefined
来源：
Computational and Applied Mathematics | 2020年 / 39卷
关键词：
Volterra equation; Integro-differential; Fixed point; Nonlinear equation; Product integration method; 45D05; 45G05; 45J99; 45E99; 65R20;
D O I：
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学科分类号：
摘要：
In this article, our study deals with the existence and the uniqueness of the solution of a second degree integro-differential nonlinear Volterra equation with a weakly singular kernel, i.e., the solution depends on its speed (first derivative) and its acceleration (second derivative); whereas using Nyström method and product integration method with piecewise projection, we approximate this solution.
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