| Existence of Harmonic Solutions for $n$-Dimensional Li\'{e}nard Equations with Delay |
| Received:April 30, 2004 Revised:August 13, 2005 |
| Key Words:
Li\'{e}nard equations delay harmonic solutions coincidence degree.
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| Fund Project:Science and Technology Foundation of CUMT (A200403) |
| Author Name | Affiliation | | ZHANG Jian-jun | Department of Mathematics, China University of Mining and Technology, Jiangsu 221008, China | | CHEN Tai-yong | Department of Mathematics, China University of Mining and Technology, Jiangsu 221008, China | | LIU Wen-bin | Department of Mathematics, China University of Mining and Technology, Jiangsu 221008, China | | ZHANG Hui-xing | Department of Mathematics, China University of Mining and Technology, Jiangsu 221008, China |
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| Abstract: |
| In this paper, the existence of harmonic solutions for the $n$-dimensional Li\'{e}nard equations with delay is studied by using coincidence degree theory. Sufficient conditions to guarantee the existence of harmonic solutions for the equation are obtained without restriction on the damping forces and some known results are improved. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2007.02.021 |
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