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 )
Oscillation and nonoscillation of second-order half-linear differential equations
โ Scribed by Zhou, Yong; Chen, X. W.
- Book ID
- 120647662
- Publisher
- Springer US
- Year
- 2013
- Tongue
- English
- Weight
- 155 KB
- Volume
- 191
- Category
- Article
- ISSN
- 1573-8795
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๐ SIMILAR VOLUMES
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
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