On a nonlinear Volterra integro-differential equation with a weakly singular kernel

被引：5

作者：

Jumarhon, B ^{[1
]}

Pidcock, M ^{[1
]}

机构：

[1] OXFORD BROOKES UNIV,SCH COMP & MATH SCI,OXFORD OX3 0BP,ENGLAND

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 1996年 / 76卷 / 06期

关键词：

D O I：

10.1002/zamm.19960760611

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with a nonlinear Volterra integro-differential equation by discussing its equivalent Volterra integral equation system. An equivalent system of nonlinear Volterra integral equations is set up, an explicit Euler scheme is given and the existence and uniqueness of the solution of the original problem are demonstrated on [0, infinity) through the existence and uniqueness of the solution of the Volterra integral equation system.

引用

页码：357 / 360

页数：4

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