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Oscillation Criteria for Functional Dynamic Equations with Nonlinearities Given by Riemann-Stieltjes Integral

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  • Yuangong Sun
  • Taher S. Hassan

Abstract

We present new oscillation criteria for the second order nonlinear dynamic equation under mild assumptions. Our results generalize and improve some known results for oscillation of second order nonlinear dynamic equations. Several examples are worked out to illustrate the main results.

Suggested Citation

  • Yuangong Sun & Taher S. Hassan, 2014. "Oscillation Criteria for Functional Dynamic Equations with Nonlinearities Given by Riemann-Stieltjes Integral," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-9, April.
  • Handle: RePEc:hin:jnlaaa:697526
    DOI: 10.1155/2014/697526
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    Cited by:

    1. Taher S. Hassan & Yuangong Sun & Amir Abdel Menaem, 2020. "Improved Oscillation Results for Functional Nonlinear Dynamic Equations of Second Order," Mathematics, MDPI, vol. 8(11), pages 1-19, October.
    2. Taher S. Hassan & Clemente Cesarano & Rami Ahmad El-Nabulsi & Waranont Anukool, 2022. "Improved Hille-Type Oscillation Criteria for Second-Order Quasilinear Dynamic Equations," Mathematics, MDPI, vol. 10(19), pages 1-18, October.
    3. Taher S. Hassan & Rami Ahmad El-Nabulsi & Amir Abdel Menaem, 2021. "Amended Criteria of Oscillation for Nonlinear Functional Dynamic Equations of Second-Order," Mathematics, MDPI, vol. 9(11), pages 1-11, May.

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