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Oscillation and Nonoscillation for Second Order Linear Impulsive Differential Equations

✍ Scribed by Chunchao Huang

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
198 KB
Volume
214
Category
Article
ISSN
0022-247X

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✦ Synopsis

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 the equation uЉ s yp t u. We give some sufficient conditions for the oscillation and nonoscillation in two particular cases.

πŸ“œ SIMILAR VOLUMES

Oscillation and Nonoscillation for Secon
Oscillation and Nonoscillation for Second Order Linear Differential Equations
✍ Chunchao Huang πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 176 KB

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 )