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Oscillation for Forced Second-Order Impulsive Nonlinear Dynamic Equations on Time Scales

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  • Mugen Huang
  • Kunwen Wen

Abstract

As the unification and development of impulsive differential equations and difference equations, impulsive dynamic equations on time scales are a powerful tool to simulate the natural and social phenomena. In this paper, we study the interval oscillation of a type of forced second-order nonlinear impulsive dynamic equations with changing signs coefficients. By using the Riccati transformation technique, we obtain some new interval oscillation criteria, based only on information of a sequence of subintervals of positive axis. In addition, we provide an example to illustrate the use of our oscillatory results.

Suggested Citation

  • Mugen Huang & Kunwen Wen, 2019. "Oscillation for Forced Second-Order Impulsive Nonlinear Dynamic Equations on Time Scales," Discrete Dynamics in Nature and Society, Hindawi, vol. 2019, pages 1-7, January.
    • Handle: RePEc:hin:jnddns:7524743
    DOI: 10.1155/2019/7524743
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