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

Author

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  • Deng, Xun-Huan
  • Wang, Qi-Ru
  • Zhou, Zhan

Abstract

By employing the generalized Riccati transformation, we establish some new oscillation criteria for second order delay dynamic equations on time scales. The obtained results essentially improve the well-know oscillation results for half-linear dynamic equations such as Kamenev-type and Philos-type oscillation criteria. Some interesting examples are given to illustrate the versatility of our results.

Suggested Citation

  • Deng, Xun-Huan & Wang, Qi-Ru & Zhou, Zhan, 2015. "Oscillation criteria for second order nonlinear delay dynamic equations on time scales," Applied Mathematics and Computation, Elsevier, vol. 269(C), pages 834-840.
    • Handle: RePEc:eee:apmaco:v:269:y:2015:i:c:p:834-840
    DOI: 10.1016/j.amc.2015.08.010
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    Cited by:

    1. Ya-Ru Zhu & Zhong-Xuan Mao & Shi-Pu Liu & Jing-Feng Tian, 2021. "Oscillation Criteria of Second-Order Dynamic Equations on Time Scales," Mathematics, MDPI, vol. 9(16), pages 1-11, August.
    2. Irena Jadlovská, 2021. "New Criteria for Sharp Oscillation of Second-Order Neutral Delay Differential Equations," Mathematics, MDPI, vol. 9(17), pages 1-23, August.
    3. Yong Zhou & Bashir Ahmad & Ahmed Alsaedi, 2019. "Structure of Non-Oscillatory Solutions for Second Order Dynamic Equations on Time Scales," Mathematics, MDPI, vol. 7(8), pages 1-12, July.
    4. Ya-Ru Zhu & Zhong-Xuan Mao & Jing-Feng Tian & Ya-Gang Zhang & Xin-Ni Lin, 2022. "Oscillation and Nonoscillatory Criteria of Higher Order Dynamic Equations on Time Scales," Mathematics, MDPI, vol. 10(5), pages 1-17, February.
    5. Grace, Said R. & Negi, Shekhar Singh & Abbas, Syed, 2022. "New oscillatory results for non-linear delay dynamic equations with super-linear neutral term," Applied Mathematics and Computation, Elsevier, vol. 412(C).

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