We study the oscillation and nonoscillation for the second order linear impulsive ลฝ . ลฝ . differential equation uะ s yp t u, where p t is an impulsive function defined by ลฝ . ฯฑ ลฝ . p t s ร a โฆ t y t , and we establish a necessary and sufficient condition for ลฝ . oscillation or nonoscillation of th
Nonoscillation for a Second Order Linear Delay Differential Equation with Impulses
โ Scribed by Yan-ling Tian; Pei-xuan Weng1; Jin-ji Yang
- Book ID
- 106300981
- Publisher
- Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2004
- Tongue
- English
- Weight
- 228 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0168-9673
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๐ SIMILAR VOLUMES
New oscillation and nonoscillation theorems are obtained for the second order ลฝ . ลฝ . w . ลฝ. linear differential equation uะ q p t u s 0, where p t g C 0, ฯฑ and p t G 0. ลฝ . w n n q 1 xลฝ Conditions only about the integrals of p t on every interval 2 t , 2 t ns 0 0 . 1, 2, . . . for some fixed t )
Two nonoscillatory characterizations of solutions of the half-linear second-order differential equation of the form [p(t)ly'l~-ly'] ' + q(t)lyla-ly = o, a > o are established for 7r(t0) := fto(P(S))-l/a ds < oo, and ~r(t0) = oo, respectively. Using these results, we obtain some sufficient conditions