The intuitive and experience based methods that have characterized the deveioprnent of Liapunov functions are re-examined. Attention is redirected from finding terms of a scalar function or a gradient to components of a vector h. While practical advantages of this perspective would depend on the bac
Impulsive Stabilization of Functional Differential Equations via Liapunov Functionals
โ Scribed by Jianhua Shen; Zhiguo Luo; Xinzhi Liu
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 116 KB
- Volume
- 240
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
This paper considers a class of abstract functional differential equations. By using Razumikhin technique, we establish several stability criteria, in terms of two measures, which improve some earlier results found in the literature. Several examples are also worked out to demonstrate the advantages
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.