𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On Asymptotically Autonomous Retarded Functional Differential Equations

✍ Scribed by Gyula Farkas


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
83 KB
Volume
254
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

✦ Synopsis


The aim of the present paper is to investigate the asymptotic behavior of the solutions of the asymptotically autonomous retarded functional differential equa-Ε½ . Ε½ . tion x t s Lx q M t x . We obtain a convergence result without assuming that Λ™t t 5 Ε½ .5 M t is in L , 1 F p -qΟ±. Moreover, we give bounds on the rate of converp gence as well.


πŸ“œ SIMILAR VOLUMES


On Singularly Perturbed Retarded Functio
✍ Zvi Artstein; Marshall Slemrod πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 160 KB

Interest in singularly perturbed delay and functional differential equations stems from both the analytical mathematics that emerges and from realistic applications where both delays and perturbations play a role. The discussion in the next section examines possible appearances of singular perturbat

An Abstract Result on Asymptotically Pos
✍ Meirong Zhang πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 183 KB

Following from the proof of spectrum theory of completely continuous linear operators, we give an abstract result concerning the estimates of norms of positively homogeneous operators in this paper. Using this result and some duality theorems for coincidence degree due to A. Capietto, J. Mawhin, and

Uniform Asymptotic Stability of Abstract
✍ Xinzhi Liu; Dao Yi Xu πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 247 KB

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