zero solution of this equation with unbounded delay to be uniformly stable as well as asymptotically stable.
Asymptotic Stability for Nonautonomous Scalar Neutral Differential Equations
โ Scribed by J.S. Yu
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 144 KB
- Volume
- 203
- Category
- Article
- ISSN
- 0022-247X
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โฆ Synopsis
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.
๐ SIMILAR VOLUMES
We consider the periodic scalar neutral functional differential equation ลฝ .w ลฝ . ลฝ . ลฝ .x ลฝ ลฝ .. ลฝ ลฝ .. drdt x t y c t x t y s yh t, x t q h t y , x t y , where c is continuously differentiable, h is increasing in its second argument, and both c and h are 1-periodic in the t-variable. The two time-
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