Oscillation criteria for perturbed nonlinear dynamic equations. (English) Zbl 1112.34019

Bohner, M.; Saker, S. H.

Math. Comput. Modelling 40, No. 3-4, 249-260 (2004).

Summary: We discuss the oscillatory behavior of a certain nonlinear perturbed dynamic equation on time scales. We establish some new oscillation criteria for such dynamic equations and supply examples.

MSC:

34C10	Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
34C15	Nonlinear oscillations and coupled oscillators for ordinary differential equations
39A11	Stability of difference equations (MSC2000)

Keywords:

Oscillation; Second-order nonlinear dynamic equation; Time scale; Riccati transformation technique; Positive solution

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