Jingrui Zhang, Yi Cheng, Changqin Yuan
Abstract:
This article concerns the periodic problem of second order
delay Duffing equation with cross resonance condition.
Using critical point theory and homotopy methods, we obtain
sufficient conditions for the existence of periodic solutions.
Also, we present an example to illustrate our results.
Submitted January 12, 2013. Published May 6, 2013.
Math Subject Classifications: 34C25, 34B15.
Key Words: Periodic solution; critical point theory; Duffing equation.
This article was withdrawn by the authors on July 21, 2013.
"We found some fatal errors in
the proof of section 3, so that many structural proofs are wrong.
According to academic rigor, we think it is not suitable for publication.
So we decided to withdraw our paper"
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Jingrui Zhang School of Aerospace Engineering Beijing Institute of Technology Beijing, 100081, China email: ruierchat@yahoo.com.cn |
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Yi Cheng Fundamental Department, Aviation University of Air Force Changchun 130022, China. Institute of Mathematics, Jilin University Changchun, 130012, China email: chengyi407@126.com |
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Changqin Yuan Fundamental Department Aviation University of Air Force Changchun, 130022, China email: ycq02@mails.tsinghua.edu.cn |
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