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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
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