๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Uniform Asymptotic Stability of Abstract Functional Differential Equations

โœ Scribed by Xinzhi Liu; Dao Yi Xu


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
247 KB
Volume
216
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

โœฆ Synopsis


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 of our results.


๐Ÿ“œ SIMILAR VOLUMES


Asymptotic Stability for Nonautonomous S
โœ J.S. Yu ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 144 KB

โฆ g 0, ฯฑ , P g C t ,ฯฑ , R , and Q g C t ,ฯฑ , 0, ฯฑ . We obtain suffi-0 0 cient conditions for the zero solution of this equation to be uniformly stable as well as asymptotically stable.

Oscillatory and Asymptotic Behavior of D
โœ S. R. Grace ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 340 KB

New theoremrj on the oscillatory and asymptotic behavior of solutions of t h e damped differential equations with deviating arguments of the form and z -w -PW z ~" + w i(zrmi) = o , are established.

Convergence Theorems and Asymptotic Inte
โœ Feiqi Deng; Yongquing Liu; Zhaoshu Feng ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 170 KB

This paper is devoted to the investigation on convergence of solutions and ลฝ . asymptotic integration of some functional differential equations FDEs . In the first part of the paper, some convergence criteria are obtained, and an invariance principle is established for the convergence of solutions o