Oscillation and nonoscillation for second-order linear difference equations
โ Scribed by B.G. Zhang; Yong Zhou
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 258 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0898-1221
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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 )
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 criteria for the half-linear second-order difference equation ZX(rkยข,(~Xxk))+ck~(Xk+l) =0, ~,(x) := IxlP-2x, p> 1, are established. These criteria are derived using the Riccati and variational technique.