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2010 | OriginalPaper | Chapter

3. Stability and Periodic Solutions of Systems with Fixed Moments of Impulses

Author : Marat Akhmet

Published in: Principles of Discontinuous Dynamical Systems

Publisher: Springer New York

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Abstract

Let us consider a differential equation with impulses,
$$\begin{array}{rcl} & & x^\prime(t) = f(t,x), \\ & & \Delta x{\vert }_{t={\theta }_{i}} ={J}_{i}(x),\end{array}$$
(3.1)

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previous chapter Description of the System with Fixed Moments of Impulses and Its Solutions
next chapter Basics of Linear Systems
Literature
137.
A.M. Samoilenko, N.A. Perestyuk, Second N.N. Bogolyubov’s theorem for impulsive differential equations (russian), Differentsial’nye uravneniya, 10 (1974) 2001–2010.
138.
A.M. Samoilenko, N.A. Perestyuk, Stability of solutions of impulsive differential equations (russian), Differentsial’nye uravneniya, 13 (1977) 1981–1992.
139.
A.M. Samoilenko, N.A. Perestyuk, Periodic solutions of weakly nonlinear impulsive differential equations (russian), Differentsial’nye uravneniya, 14 (1978) 1034–1045.
140.
A.M. Samoilenko, N.A. Perestyuk, On stability of solutions of impulsive systems (russian), Differentsial’nye uravneniya, 17 (1981) 1995–2002.MathSciNet
141.
A.M. Samoilenko, N.A. Perestyuk, Differential Equations with impulsive actions (russian), Vishcha Shkola, Kiev, 1987.
Metadata
Title
Stability and Periodic Solutions of Systems with Fixed Moments of Impulses
Author
Marat Akhmet
Copyright Year
2010
Publisher
Springer New York
Book
Principles of Discontinuous Dynamical Systems

Print ISBN: 978-1-4419-6580-6

Electronic ISBN: 978-1-4419-6581-3

Copyright Year: 2010

DOI
https://doi.org/10.1007/978-1-4419-6581-3_3

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