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Oscillation and Nonoscillatory Criteria of Higher Order Dynamic Equations on Time Scales

Author

Listed:
  • Ya-Ru Zhu

    (Department of Mathematics and Physics, North China Electric Power University, Beijing 102206, China)

  • Zhong-Xuan Mao

    (Department of Mathematics and Physics, North China Electric Power University, Beijing 102206, China)

  • Jing-Feng Tian

    (Department of Mathematics and Physics, North China Electric Power University, Beijing 102206, China)

  • Ya-Gang Zhang

    (Department of Mathematics and Physics, North China Electric Power University, Beijing 102206, China)

  • Xin-Ni Lin

    (College of Foreign Languages, Cultures and International Exchanges, Zhejiang University, Ningbo 315100, China)

Abstract

In this paper, we consider two universal higher order dynamic equations with several delay functions. We will establish two oscillatory criteria of the first equation and a sufficient and necessary condition for the second equation with a nonoscillatory solution by employing fixed point theorem.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:5:p:717-:d:757573
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    References listed on IDEAS

    as
    1. Chatzarakis, George E. & Grace, Said R. & Jadlovská, Irena, 2021. "On the sharp oscillation criteria for half-linear second-order differential equations with several delay arguments," Applied Mathematics and Computation, Elsevier, vol. 397(C).
    2. Taixiang Sun & Hongjian Xi & Xiaofeng Peng & Weiyong Yu, 2010. "Nonoscillatory Solutions for Higher-Order Neutral Dynamic Equations on Time Scales," Abstract and Applied Analysis, Hindawi, vol. 2010, pages 1-16, September.
    3. 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.
    4. Ma, Yutian & Li, Wenwen, 2020. "Application and research of fractional differential equations in dynamic analysis of supply chain financial chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    5. 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.
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