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Structure of Non-Oscillatory Solutions for Second Order Dynamic Equations on Time Scales

Author

Listed:
  • Yong Zhou

    (Faculty of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, China
    Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia)

  • Bashir Ahmad

    (Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia)

  • Ahmed Alsaedi

    (Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia)

Abstract

In this paper, we make a detailed analysis of the structure of non-oscillatory solutions for second order superlinear and sublinear dynamic equations on time scales. The sufficient and necessary conditions for existence of non-oscillatory solutions are presented.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:8:p:680-:d:252879
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    References listed on IDEAS

    as
    1. 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.
    2. Shao-Yan Zhang & Qi-Ru Wang, 2014. "Interval Oscillation Criteria for Second-Order Forced Functional Dynamic Equations on Time Scales," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-10, March.
    Full references (including those not matched with items on IDEAS)

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