| 一类多偏差变元的二阶微分方程周期解问题 |
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| 引用本文： | 鲁世平,葛渭高. 一类多偏差变元的二阶微分方程周期解问题[J]. 系统科学与数学, 2005, 25(2): 216-227 |
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| 作者姓名： | 鲁世平 葛渭高 |
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| 作者单位： | 1. 安徽师范大学数学系,芜湖,241000
2. 北京理工大学数学系,北京,100081 |
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| 基金项目： | 国家自然科学基金(10371006)资助课题. |
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| 摘 要： | 作者利用重合度原理研究了一类多偏差变元的二阶微分方程■周期解问题.得到了有关周期解存在性的新的结果
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| 关 键 词： | 周期解 延拓定理 偏差变元 |
| 修稿时间： | 2002-06-12 |
PERIODIC SOLUTIONS FOR A KIND OF SECOND ORDER FUNCTIONAL DIFFERENTIAL EQUATION WITH MULTIPLE DEVIATING ARGUMENTS |
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| LU Shiping,Ge Weigao. PERIODIC SOLUTIONS FOR A KIND OF SECOND ORDER FUNCTIONAL DIFFERENTIAL EQUATION WITH MULTIPLE DEVIATING ARGUMENTS[J]. Journal of Systems Science and Mathematical Sciences, 2005, 25(2): 216-227 |
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| Authors: | LU Shiping Ge Weigao |
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| Affiliation: | (1)Deptment of Mathematics, Anhui Normal University, Wuhu, Anhui 241000;(2)Deptment of Mathematics, Beijing Institute of Technology, Beijing 100081 |
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| Abstract: | By means of the continuation theorem of coincidence degree theory, a kind of second order functional differential equation with multiple deviating arguments as follows$$x'(t)+sumlimits_{j=1}^nbeta_j(t)g(x(t-tau_j(t)))=e(t)$$is studied. Some new results on the existence of periodic solutions are obtained. |
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| Keywords: | periodic solution continuation theorem deviating argument. |
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