A class of impulsive nonautonomous differential equations and Ulam–Hyers–Rassias stability. (25th March 2014)

• Record Type: Journal Article
• Authors: Wang, JinRong; Lin, Zeng
• Is Part Of: Mathematical methods in the applied sciences. Volume 38:Number 5(2015:Mar. 30)
• Page Start: 868
• Page End: 880
• Publication Date: 2014-03-25
• Subjects: Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.3113
• Languages: English
• ISSNs: 0170-4214

Abstract

<abstract abstract-type="main" id="mma3113-abs-0001"> <title> <x xml:space="preserve">Abstract</x> </title> <p id="mma3113-para-0001">In this paper, we study a model described by a class of impulsive nonautonomous differential equations. This new impulsive model is more suitable to show dynamics of evolution processes in pharmacotherapy than the classical one. We apply Krasnoselskii's fixed point theorem to obtain existence of solutions. Meanwhile, we mainly present the sufficient conditions on Ulam–Hyers–Rassias stability on both compact and unbounded intervals. Many analysis techniques are used to derive our results. Copyright © 2014 John Wiley &amp; Sons, Ltd.</p> </abstract>