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Zbl 0971.34021
Li, Wan-Tong; Li, Xiaohu
Oscillation criteria for second-order nonlinear differential equations with integrable coefficient.
(English)
[J] Appl. Math. Lett. 13, No.8, 1-6 (2000). ISSN 0893-9659

The authors consider the second-order nonlinear differential equation $$\left[a(t)|y'(t)|^{\sigma-1}y'(t)\right]'+q(t)f(y(t))=r(t),$$ where $\sigma>0$ is a constant, $a\in C(\bbfR, (0, \infty))$, $q\in C(\bbfR, \bbfR)$, $xf(x)>0$, $f'(x)\ge 0$ for $x\neq 0$. Some new oscillation criteria are obtained and an example is given.
[Qiro Wang (Beijing)]
MSC 2000:
*34C15 Nonlinear oscillations of solutions of ODE
34C10 Qualitative theory of oscillations of ODE: Zeros, etc.

Keywords: oscillation; nonlinear

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