Hyers-Ulam stability of linear differential equations of first order, II

被引：209

作者：

Jung, S. -M. ^{[1
]}

机构：

[1] Hongik Univ, Coll Sci & Technol, Math Sect, Chochiwon, South Korea

来源：

APPLIED MATHEMATICS LETTERS | 2006年 / 19卷 / 09期

关键词：

Hyers-Ulam stability; Hyers-Ulam-Rassias stability; differential equation;

D O I：

10.1016/j.aml.2005.11.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let X be a complex Banach space and let I be an open interval. For given functions g : I -> C, h : I -> X and phi : I -> [0, infinity), we will solve the differential inequality parallel to y'(t) + g(t)y(t) + h(t)parallel to <= phi(t) for the class of continuously differentiable functions y : I -> X under some integrability conditions. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：854 / 858

页数：5

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