Uniform Asymptotic Stability of Abstract Functional Differential Equations
โ Scribed by Xinzhi Liu; Dao Yi Xu
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 247 KB
- Volume
- 216
- Category
- Article
- ISSN
- 0022-247X
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โฆ 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.
๐ SIMILAR VOLUMES
โฆ 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.
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.
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