Finding the Periodic Solution of Differential Equation via Solving Optimization Problem

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 p...

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Veröffentlicht in:	Journal of optimization theory and applications 2009-10, Vol.143 (1), p.75-86
Hauptverfasser:	Feng, Z. X., Xu, X., Ji, S. G.
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Calculus of Variations and Optimal Control Optimization Differential equations Engineering Exact sciences and technology Mathematics Mathematics and Statistics Methods Numerical analysis Numerical analysis. Scientific computation Numerical methods in mathematical programming, optimization and calculus of variations Operations Research/Decision Theory Optimization Ordinary differential equations Sciences and techniques of general use Studies Theory of Computation
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Zusammenfassung:	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.
ISSN:	0022-3239 1573-2878
DOI:	10.1007/s10957-009-9544-1