| 一类高阶非线性方程周期解存在的充分性 |
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| 引用本文： | 陈新一.一类高阶非线性方程周期解存在的充分性[J].贵州师范大学学报(自然科学版),2009,27(1). |
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| 作者姓名： | 陈新一 |
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| 作者单位： | 西北民族大学,中国民族信息技术研究院,甘肃,兰州,730030 |
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| 摘 要： | 考虑一类高阶微分方程ax(2n)(t)+cx(′t)+h(x(′t))x(t)+gx(t-τ)]=p(t)利用重合度理论,获得了此类方程至少存在一个T-周期解的充分条件.
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| 关 键 词： | 高阶微分方程 周期解 重合度 |
Sufficient theorem about periodic solution for a class of high order nonlinear equations |
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| CHEN Xin-yi.Sufficient theorem about periodic solution for a class of high order nonlinear equations[J].Journal of Guizhou Normal University(Natural Sciences),2009,27(1). |
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| Authors: | CHEN Xin-yi |
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| Institution: | China Ethnic Information Technology Institute;Northwest University for Nationalities;Lanzhou;Gansu 730030;China |
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| Abstract: | A class of high order differential equation is considered as follows ax(2n)(t)+cx′(t)+h(x′(t))x(t)+g(x(t-τ))=p(t).By using the theory of coincidence degree,a sufficient condition of existence at least one T-periodic solution is obtained. |
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| Keywords: | high order differential equation periodic solution coincidence degree |
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