some oscillation criteria for the second order retarded differential equation [r(t)Iu'(t)la-lu'(t)]' +P(t)lu(T(t))la-lu(T(t)) = 0 CEO) are given, where CT and /3 are positive constants, and P ## ,T,T E C([to,oo),IR) satisfy some suitable conditions. Our results generalize those of Erbe, Ohriska a
Impulsive stability for systems of second order retarded differential equations
✍ Scribed by L.P. Gimenes; M. Federson; P. Táboas
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 165 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0362-546X
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📜 SIMILAR VOLUMES
## Abstract In this paper we obtain instability and stability criteria for second order linear impulsive differential equations with periodic coefficients. Further, a Lyapunov type inequality is also established. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
We study the oscillation and nonoscillation for the second order linear impulsive Ž . Ž . differential equation uЉ s yp t u, where p t is an impulsive function defined by Ž . ϱ Ž . p t s Ý a ␦ t y t , and we establish a necessary and sufficient condition for Ž . oscillation or nonoscillation of th