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Parametrically Excited Oscillations of Second-Order Functional Differential Equations and Application to Duffing Equations with Time Delay Feedback

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  • Mervan Pašić

Abstract

We study oscillatory behaviour of a large class of second-order functional differential equations with three freedom real nonnegative parameters. According to a new oscillation criterion, we show that if at least one of these three parameters is large enough, then the main equation must be oscillatory. As an application, we study a class of Duffing type quasilinear equations with nonlinear time delayed feedback and their oscillations excited by the control gain parameter or amplitude of forcing term. Finally, some open questions and comments are given for the purpose of further study on this topic.

Suggested Citation

  • Mervan Pašić, 2014. "Parametrically Excited Oscillations of Second-Order Functional Differential Equations and Application to Duffing Equations with Time Delay Feedback," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-17, April.
    • Handle: RePEc:hin:jnddns:875020
    DOI: 10.1155/2014/875020
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