| 一类二阶渐近周期微分方程的正同宿轨道 |
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| 引用本文： | 王为民,吴绍平. 一类二阶渐近周期微分方程的正同宿轨道[J]. 高校应用数学学报(英文版), 2002, 17(1): 7-12. DOI: 10.1007/s11766-002-0019-5 |
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| 作者姓名： | 王为民 吴绍平 |
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| 作者单位： | Wang Weimin 1,2 Wu Shaoping 11 Dept.of Math.,Zhejiang Univ.,Hangzhou 310027. 2 Dept. of Appl. Math.,Zhejiang Univ. of Technology,Hangzhou 310034. |
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| 基金项目： | ZJNSF(1 0 0 0 0 5 ) |
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| 摘 要： | § 1 IntroductionIn this note we are concerned with the asymptotically periodic second order equation-u″+α( x) u =β( x) uq +γ( x) up, x∈ R,( 1 )where1
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| 关 键 词： | 系数泛函 变化性 渐近可展函数 微分方程 |
Positive homoclinic orbits for a class of asymptotically periodic second order differential equations |
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| Wang Weimin,Wu Shaoping. Positive homoclinic orbits for a class of asymptotically periodic second order differential equations[J]. Applied Mathematics A Journal of Chinese Universities, 2002, 17(1): 7-12. DOI: 10.1007/s11766-002-0019-5 |
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| Authors: | Wang Weimin Wu Shaoping |
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| Affiliation: | (1) Dept. of Math., Zhejiang Univ., 310027 Hangzhou;(2) Dept. of Appl. Math., Zhejiang Univ. of Technology, 310034 Hangzhou |
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| Abstract: | This note studies the existence of positive homoclinic orbits of the second order equation  | (1) | where 1<q<p. Assume that the coefficient functions a(x), β(x) and γ(x) are asymptotically periodic and satisfy  | (1) | A positive homoclinic orbit of the equation is obtained by means of variational methods. This research is supported by ZJNSF (100005). |
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| Keywords: | asymptotical period differential equation homoclinic orbit. |
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