| 张建军,陈太勇,刘文斌,张慧星.具有时滞的$n$维Li\'{e}nard型方程调和解的存在性[J].数学研究及应用,2007,27(2):377~384 |
| 具有时滞的$n$维Li\'{e}nard型方程调和解的存在性 |
| Existence of Harmonic Solutions for $n$-Dimensional Li\'{e}nard Equations with Delay |
| 投稿时间：2004-04-30 修订日期：2005-08-13 |
| DOI：10.3770/j.issn:1000-341X.2007.02.021 |
| 中文关键词: Li\'{e}nard型方程 时滞 调和解 迭合度. |
| 英文关键词:Li\'{e}nard equations delay harmonic solutions coincidence degree. |
| 基金项目:中国矿业大学青年科研基金(A200403);中国矿业大学基础科学预研基金(A03--06). |
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| 中文摘要: |
| 本文利用迭合度理论研究了具有时滞的$n$维Li\'{e}nard型方程调和解的存在性,在对阻尼项不作限制的前提下,给出了存在调和解的条件. |
| 英文摘要: |
| 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. |
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