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Oscillation criteria for second-order nonlinear differential equations with integrable coefficient. (English) Zbl 0971.34021
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, $$a\in C(\mathbb{R}, (0, \infty))$$, $$q\in C(\mathbb{R}, \mathbb{R})$$, $$xf(x)>0$$, $$f'(x)\geq 0$$ for $$x\neq 0$$. Some new oscillation criteria are obtained and an example is given.

##### MSC:
 34C15 Nonlinear oscillations and coupled oscillators for ordinary differential equations 34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
##### Keywords:
oscillation; nonlinear
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##### References:
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