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Oscillation theorems for fourth-order delay dynamic equations on time scales. (English) Zbl 1314.34182
Summary: In this note, we examine the oscillatory nature for the fourth-order nonlinear delay dynamic equation \[ (r(t)x^{\Delta^3}(t))^\Delta+ p(t)x(\tau (t)) = 0 \] on a time scale \(\mathbb T\) unbounded above. Some oscillation criteria are obtained for the cases when \[ \int_{t_0}^\infty \frac{1}{r(s)}\Delta s = \infty \] and \[ \int_{t_0}^\infty \frac{1}{r(s)}\Delta s < \infty. \]

MSC:
34N05 Dynamic equations on time scales or measure chains
34K11 Oscillation theory of functional-differential equations
39A21 Oscillation theory for difference equations
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