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Finding the Periodic Solution of Differential Equation via Solving Optimization Problem.

Authors :
Feng, Z. X.
Xu, X.
Ji, S. G.
Source :
Journal of Optimization Theory & Applications; Oct2009, Vol. 143 Issue 1, p75-86, 12p, 2 Charts, 3 Graphs
Publication Year :
2009

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00223239
Volume :
143
Issue :
1
Database :
Complementary Index
Journal :
Journal of Optimization Theory & Applications
Publication Type :
Academic Journal
Accession number :
44412068
Full Text :
https://doi.org/10.1007/s10957-009-9544-1