Periodic solution of a second order, autonomous, nonlinear system |
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| Authors: | E Esmailzadeh B Mehri G Nakhaie-Jazar |
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| Institution: | (1) Department of Mechanical Engineering, Sharif University of Technology, Tehran, Iran;(2) Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran |
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| Abstract: | There exist a sufficient condition for the existence of at least one periodic solution for a type of second order autonomous ordinary differential equations. The correctness of the condition has been pointed out by Schauder's fixed point theorem. In order to indicate the validity of the assumptions made, two illustrative examples, showing its application in the nonlinear vibration and relaxation oscillation are presented. |
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| Keywords: | Periodic condition nonlinear differential equations autonomous systems Green's function fixed point theorem |
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