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
Nonoscillation and oscillation of second-order impulsive differential equations with periodic coefficients
✍ Scribed by A. Özbekler; A. Zafer
- Book ID
- 113449256
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 228 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0893-9659
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📜 SIMILAR VOLUMES
New oscillation and nonoscillation theorems are obtained for the second order Ž . Ž . w . Ž. linear differential equation uЉ q p t u s 0, where p t g C 0, ϱ and p t G 0. Ž . w n n q 1 xŽ Conditions only about the integrals of p t on every interval 2 t , 2 t ns 0 0 . 1, 2, . . . for some fixed t )
## 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)