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.
A Variation of the Lyapunov Second Method to Impulsive Differential Equations
โ Scribed by J.V. Devi
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 259 KB
- Volume
- 177
- Category
- Article
- ISSN
- 0022-247X
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๐ SIMILAR VOLUMES
By means of piecewise continuous functions which are analogues of Lyapunov's functions, sufficient conditions are obtained for the existence of integral manifolds for impulsive differential-difference equations with variable impulsive perturbations.
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.
## Communicated by G. F. Roach The Lyapunov stability is analysed for a class of integro-differential equations with unbounded operator coefficients. These equations arise in the study of non-conservative stability problems for viscoelastic thin-walled elements of structures. Some sufficient stabi