Asymptotic equivalence of neutral and infinite retarded differential equations
โ Scribed by J.R. Haddock; T. Krisztin; Jianhong Wu
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 539 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper we prove that for Hessenberg delay DAEs of retarded type, the direct linearization along the stationary solution is valid. This validity is obtained by showing the equivalence between the direct linearization and the linearization of the state space form of the original problem, which
Sufficient conditions for all solutions of the neutral differential equations of the form -$ (z(t) + c(t)z(t -r)) + p(t)z(t) + q(t)o(t -l7) = 0 to approach zero as t + ca are established. Some applications to neutral logistic equations and neural networks of neutral type are also presented.