Optimal Hyers-Ulam’s constant for the linear differential equations

被引：0
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作者：
Soon-Mo Jung
Jaiok Roh
Juri Lee
机构：
[1] Hongik University,Mathematics Section, College of Science and Technology
[2] Hallym University,Department of Mathematics
[3] Chungnam National University,Department of Mathematics
来源：
Journal of Inequalities and Applications | / 2016卷
关键词：
linear differential equation; Hyers-Ulam stability; integrating factor; perturbation; 34A40; 34D10; 34A30; 39B82;
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摘要：
In this paper, we will obtain the optimal Hyers-Ulam’s constant for the first-order linear differential equations p(t)y′(t)−q(t)y(t)−r(t)=0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$p(t)y'(t) - q(t)y(t) - r(t) = 0$\end{document}.
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