Abstract
In this paper, we establish some new oscillation criteria for a non autonomous second order delay dynamic equation
on a time scale T. Oscillation behavior of this equation is not studied before. Our results not only apply on differential equations when T=ℝ, difference equations when T=ℕ but can be applied on different types of time scales such as when T=qℕ for q > 1 and also improve most previous results. Finally, we give some examples to illustrate our main results.
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Agwo, H.A., Khodier, A.M.M. & Hassan, H.A. Oscillation criteria of second order half linear delay dynamic equations on time scales. Acta Math. Appl. Sin. Engl. Ser. 33, 83–92 (2017). https://doi.org/10.1007/s10255-017-0639-4
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DOI: https://doi.org/10.1007/s10255-017-0639-4
Keywords
- time scales
- oscillation
- second order delay dynamic equations
- generalized Riccati technique
- generalized exponential function