| 一类二阶多时滞泛函微分方程多个周期解的存在性 |
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| 引用本文： | 于跃华,贾仁伟,黄祖达. 一类二阶多时滞泛函微分方程多个周期解的存在性[J]. 湖南文理学院学报(自然科学版), 2012, 0(3): 1-5 |
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| 作者姓名： | 于跃华 贾仁伟 黄祖达 |
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| 作者单位： | 湖南文理学院数学与计算科学学院 |
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| 基金项目： | 湖南省教育厅资助课题2010[243];湖南文理学院芙蓉学院2010-2011重点课题资助 |
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| 摘 要： | 研究了一类二阶泛函微分方程xn(t)+f(t,x)(t-τ1)(t),x( t-τ2)(t))(x'(t))n+[a(t)x2(t-K1T)+b(t)x(t-K2T)-p(t)]g(t-τ3(t))=0,(n≥2)利用重合度理论,获得了该方程至少存在两个周期解的结论.
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| 关 键 词： | 泛函微分方程 重合度 多个周期解 |
On existence of serveral periodic solution for a class of second order multi-delay functional diferential equations |
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| YU Yue-hua,JIA Ren-wei,HUANG Zu-da. On existence of serveral periodic solution for a class of second order multi-delay functional diferential equations[J]. Journal of Hunan University of Arts and Science:Natural Science Edition, 2012, 0(3): 1-5 |
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| Authors: | YU Yue-hua JIA Ren-wei HUANG Zu-da |
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| Affiliation: | (Department of Maths and Computing,Hnnan University of Arts and Science,Changde 415000,China) |
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| Abstract: | This paper studies the existence of several periodic solutions to the two second order differentialequation xn(t)+f(t,x)(t-τ1)(t),x(t-τ2)(t))(x’(t))n+[a(t)x2(t-K1T)+b(t)x(t-K2T)-p(t)]g(t-τ3(t))=0,(n≥2)and gets the results of existing at least two periodic solutions. |
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| Keywords: | Functional differential equations mult-periodic solutions coincidence degree |
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