## Philos-type oscillation criteria for second order half-linear dynamic equations on time scales.(English)Zbl 1139.34029

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:

 34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations 39A10 Additive difference equations
Full Text:

### References:

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