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Finding the Periodic Solution of Differential Equation via Solving Optimization Problem

Author

Listed:
  • Z. X. Feng

    (Jilin University)

  • X. Xu

    (Jilin University)

  • S. G. Ji

    (Jilin University)

Abstract

In this paper, we propose a new method to find the periodic solutions of differential equations. The key technique is to convert the problem of finding periodic solutions of differential equations into an optimization problem. Then by solving the corresponding optimization problem, we can find the periodic solutions of differential equations. Finally, some numerical results are presented to illustrate the utility of the technique.

Suggested Citation

  • Z. X. Feng & X. Xu & S. G. Ji, 2009. "Finding the Periodic Solution of Differential Equation via Solving Optimization Problem," Journal of Optimization Theory and Applications, Springer, vol. 143(1), pages 75-86, October.
    • Handle: RePEc:spr:joptap:v:143:y:2009:i:1:d:10.1007_s10957-009-9544-1
    DOI: 10.1007/s10957-009-9544-1
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    References listed on IDEAS

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    1. S. G. Ji & S. Y. Shi, 2006. "Periodic Solutions for a Class of Second-Order Ordinary Differential Equations," Journal of Optimization Theory and Applications, Springer, vol. 130(1), pages 125-137, July.
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    Cited by:

    1. Shuai Wang & Lu Wang & Xue Yang, 2023. "Numerical Method for Finding Synchronous Solutions of the Coupled Oscillator Networks," Journal of Optimization Theory and Applications, Springer, vol. 199(1), pages 258-272, October.

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