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Zbl 1139.34029
Agarwal, Ravi P.; O'Regan, Donal; Saker, S.H.
Philos-type oscillation criteria for second order half-linear dynamic equations on time scales.
(English)
[J] Rocky Mt. J. Math. 37, No. 4, 1085-1104 (2007). ISSN 0035-7596

Summary: We establish some oscillation theorems for the second order half-linear dynamic equation $$(r(t)(x^\Delta(t))^\gamma)^\Delta+ p(t)x^\gamma(t) = 0,\quad t\in [a, b],$$ on time scales. Special cases of our results include some well-known oscillation results for second-order differential and half-linear differential equations. Our results are new for difference, generalized difference and $q$ difference half-linear equations.
MSC 2000:
*34C10 Qualitative theory of oscillations of ODE: Zeros, etc.
39A10 Difference equations

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