In the present paper the question of the practical stability of the solutions of impulsive systems of differential-difference equations with variable impulsive perturbations is discussed. In the investigations piecewise continuous functions are used which are analogues of Lyapunov's functions, and a
Uniform Stability with Respect to the Impulse Hypersurfaces of the Solutions of Differential Equations with Impulses
โ Scribed by D.D. Bainov; A.B. Dishliev
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 330 KB
- Volume
- 172
- Category
- Article
- ISSN
- 0022-247X
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๐ SIMILAR VOLUMES
A periodic boundary value problem for a special type of functional differential equations with impulses at fixed moments is studied. A comparison result is presented that allows to construct a sequence of approximate solutions and to give an existence result. Several particular cases are considered.
The paper is concerned with the stability of the zero solution of the impulsive system method is used as a tool in obtaining the criteria for stability, asymptotic stability, and instability of the trivial solution.
In the present paper sufficient conditions for stability of the solutions of linear. systems of differentia1 equations with variable structure and impulse effect are found.