| 2n阶非线性差分方程周期解的存在性 |
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| 引用本文： | 彭国荣,隋丽丽.2n阶非线性差分方程周期解的存在性[J].华北科技学院学报,2011,8(3):78-81. |
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| 作者姓名： | 彭国荣 隋丽丽 |
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| 作者单位： | 1. 湖北民族学院预科教育学院,湖北恩施,445000
2. 华北科技学院基础部,北京东燕郊,101601 |
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| 摘 要： | 本文主要利用非线性泛函分析中的变分方法，结合临界点理论，研究2n阶非线性差分方程△^n（rt-n△^n xt-n）＋f（t，xi）=0周期解的存在性与多重性。
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| 关 键 词： | 周期解 临界点 非线性差分方程多解性 变分方法 |
Existence of Periodic Solutions for A 2n Th-ordern Oolinear Difference Equation |
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| PENG Guorong,SUI Lili.Existence of Periodic Solutions for A 2n Th-ordern Oolinear Difference Equation[J].Journal of North China Institute of Science and Technology,2011,8(3):78-81. |
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| Authors: | PENG Guorong SUI Lili |
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| Institution: | PENG Guorong,SUI Lili (1.Hubei institute for Nationalities Pre-Institute Department,Enshi Hubei 445000,2.Foundation department of North China Instituteof Science and Technology,Yanjiao Beijing-East 101601) |
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| Abstract: | In this paper, the existence and multiplicity of solutions for a difference equation of the form △^n（rt-n△^n xt-n）＋f（t,xi）=0（1,1） is discussed by means of variational method, the critical point theory, especially critical group and the Morse theory of nonlinear functional analysis. |
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| Keywords: | multiplicity of solutions energy functional variational method critical point theory critical group Morse theory |
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