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.

引用

页码：1 / 11

页数：11

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