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Oscillation criteria for third order nonlinear delay dynamic equations on time scales

Zhenlai HanTongxing LiShurong SunFengjuan Cao — 2010

Annales Polonici Mathematici

By means of Riccati transformation technique, we establish some new oscillation criteria for third-order nonlinear delay dynamic equations ( ( x Δ Δ ( t ) ) γ ) Δ + p ( t ) x γ ( τ ( t ) ) = 0 on a time scale ; here γ > 0 is a quotient of odd positive integers and p a real-valued positive rd-continuous function defined on . Our results not only extend and improve the results of T. S. Hassan [Math. Comput. Modelling 49 (2009)] but also unify the results on oscillation of third-order delay differential equations and third-order delay difference...

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