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Oscillation for nonlinear second order dynamic equations on a time scale. (English) Zbl 1061.34018
Summary: We obtain some oscillation criteria for solutions to the nonlinear dynamic equation $$x^{\Delta\Delta}+ q(t)x^{\Delta^\sigma} +p(t) (f\circ x^\sigma)=0$$ on time scales. In particular, no explicit sign assumptions are made with respect to the coefficients $p(t)$, $q(t)$. We illustrate the results by several examples, including a superlinear Emden-Fowler dynamic equation.

##### MSC:
 34C10 Qualitative theory of oscillations of ODE: zeros, disconjugacy and comparison theory 39A11 Stability of difference equations (MSC2000)
##### Keywords:
Dynamic equation; Oscillation; Time scales
Full Text:
##### References:
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