On the perturbation of Volterra integro-differential equations

被引：10
|
作者：
Jung, Soon-Mo [1 ]
Sevgin, Sebaheddin [2 ]
Sevli, Hamdullah [3 ]
机构：
[1] Hongik Univ, Coll Sci & Technol, Math Sect, Jochiwon 339701, South Korea
[2] Yuzuncu Yil Univ, Fac Art & Sci, Dept Math, TR-65080 Van, Turkey
[3] Istanbul Commerce Univ, Fac Sci & Arts, Dept Math, TR-34672 Istanbul, Turkey
来源：
APPLIED MATHEMATICS LETTERS | 2013年 / 26卷 / 07期
关键词：
Volterra integro-differential equation; Volterra integral equation of the second kind; Perturbation; Hyers-Ulam stability; Generalized Hyers-Ulam stability; HYERS-ULAM STABILITY; DIFFERENTIAL-EQUATIONS; 1ST-ORDER;
D O I：
10.1016/j.aml.2012.10.018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we will prove that every solution of a perturbed Volterra integro-differential equation can be approximated by a solution of the Volterra integro-differential equation. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码：665 / 669
页数：5
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