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Oscillation Criteria of Second-Order Dynamic Equations on Time Scales

Author

Listed:
  • Ya-Ru Zhu

    (Department of Mathematics and Physics, North China Electric Power University, Yonghua Street 619, Baoding 071003, China)

  • Zhong-Xuan Mao

    (Department of Mathematics and Physics, North China Electric Power University, Yonghua Street 619, Baoding 071003, China)

  • Shi-Pu Liu

    (Department of Mathematics and Physics, North China Electric Power University, Yonghua Street 619, Baoding 071003, China)

  • Jing-Feng Tian

    (Department of Mathematics and Physics, North China Electric Power University, Yonghua Street 619, Baoding 071003, China)

Abstract

In this paper, we consider the oscillation behavior of the following second-order nonlinear dynamic equation. λ ( s ) Ψ 1 φ Δ ( s ) y ( φ ( s ) ) Δ Δ + η ( s ) Φ ( y ( τ ( s ) ) ) = 0 , s ∈ [ s 0 , ∞ ) T . By employing generalized Riccati transformation and inequality scaling technique, we establish some oscillation criteria.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:16:p:1867-:d:609467
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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.
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