On the Ulam-Hyers stability of first order differential systems with nonlocal initial conditions

被引：53
作者：
Andras, Sz. [1 ]
Kolumban, J. J. [1 ]
机构：
[1] Univ Babes Bolyai, Fac Math & Comp Sci, Cluj Napoca 400084, Romania
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2013年 / 82卷
关键词：
Ulam-Hyers stability; First order differential system; Nonlocal initial conditions; Convergent to zero matrix; Fixed point theorem; Vector norm; EQUATIONS;
D O I：
10.1016/j.na.2012.12.008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we investigate the Ulam-Hyers stability of first order differential systems with nonlocal initial conditions on compact intervals (in W-1,W-1(0, k)) and on noncompact intervals (in W-w(1,2)(0,infinity), with suitable weight function w). The novelty consists in the simultaneous use of vectorial norms, convergent to zero matrices, Sobolev spaces for studying the Ulam- Hyers stability of equations with nonlocal conditions on noncompact intervals. (C) 2013 Elsevier Ltd. All rights reserved.
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页码：1 / 11
页数：11
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