๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Asymptotic stability of certain neutral differential equations

โœ Scribed by R.P Agarwal; S.R Grace

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
415 KB
Volume
31
Category
Article
ISSN
0895-7177

No coin nor oath required. For personal study only.

โœฆ Synopsis

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.

๐Ÿ“œ SIMILAR VOLUMES

Asymptotic Stability for Nonautonomous S
Asymptotic Stability for Nonautonomous Scalar Neutral Differential Equations
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.

Asymptotic stability of differential sys
Asymptotic stability of differential systems of neutral type
โœ R.P. Agarwal; S.R. Grace ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 322 KB

offer sufficient conditions for the asymptotic stability of the equilibrium point of linear neutral differential systems. An application of our results to a family of artificial neural networks of neutral type is also illustrated.