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Oscillation for nonlinear second order dynamic equations on a time scale

Journal of Mathematical Analysis and Applications, ISSN: 0022-247X, Vol: 301, Issue: 2, Page: 491-507
2005
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Article Description

We obtain some oscillation criteria for solutions to the nonlinear dynamic equation xΔΔ+q(t)xΔσ+p(t)(f○xσ)=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.

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