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Oscillation and Nonoscillation for Second Order Linear Differential Equations

✍ Scribed by Chunchao Huang


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
176 KB
Volume
210
Category
Article
ISSN
0022-247X

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✦ Synopsis


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.

Ε½ .

w n n q 1 xΕ½ Conditions only about the integrals of p t on every interval 2 t , 2 t ns 0 0 . 1, 2, . . . for some fixed t ) 0 are used in the results.


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✍ Chunchao Huang πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 198 KB

We study the oscillation and nonoscillation for the second order linear impulsive Ε½ . Ε½ . differential equation uΠ‰ s yp t u, where p t is an impulsive function defined by Ε½ . Ο± Ε½ . p t s Ý a ␦ t y t , and we establish a necessary and sufficient condition for Ε½ . oscillation or nonoscillation of th