Finding the Periodic Solution of Differential Equation via Solving Optimization Problem

Z. X. Feng (), X. Xu and S. G. Ji
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Z. X. Feng: Jilin University
X. Xu: Jilin University
S. G. Ji: Jilin University

Journal of Optimization Theory and Applications, 2009, vol. 143, issue 1, No 5, 75-86

Abstract: 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.

Keywords: Differential equations; Periodic solutions; Quasi-Newton methods (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-009-9544-1

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