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An integral criterion for oscillation of nonlinear differential equations. (English) Zbl 0816.34024
Summary: An integral criterion is given for oscillation of the nonlinear ordinary differential equation $${d \over dt} [r(t) \Phi (u'(t))] + c(t) \Phi (u(t)) = 0$$, where $$r(t) \in C^ 1 ([0, \infty); (0, \infty))$$, $$c(t) \in C([0, \infty); \mathbb{R})$$ and $$\Phi (s) = | s |^{p-2} s$$ for $$p > 1$$.

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