Stability by Lyapunov like functions of nonlinear differential equations with non-instantaneous impulses

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• 作者：Ravi Agarwal ; D. O’Regan ; S. Hristova
• 关键词：Non ; instantaneous impulses ; Stability ; Lyapunov functions
• 刊名：Journal of Applied Mathematics and Computing
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：53
• 期：1-2
• 页码：147-168
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Computational Mathematics and Numerical Analysis; Appl.Mathematics/Computational Methods of Engineering; Theory of Computation; Mathematics of Computing;
• 出版者：Springer Berlin Heidelberg
• ISSN：1865-2085
• 卷排序：53

文摘

The stability of the solutions of a nonlinear differential equation with noninstantaneous impulses is studied using Lyapunov like functions. In these differential equation we have impulses, which start abruptly at some points and their action continue on given finite intervals. Sufficient conditions for stability, uniform stability and asymptotic uniform stability of the solutions are established. Examples are given to illustrate the results. Also, some of the results are applied to study a dynamical model in Pharmacokinetics.