一类含有非线性项的八阶微分方程同宿轨道解的存在性
Existence of Homoclinic Solutions of Some Nonlinear Eighth-order Differential Equations
摘要
本文运用Brezis-Nirenberg型山路引理和集中紧性原理研究了八阶微分方程u(viii)+Au(vi)+Bu(iv)+Cu″'-Du+u|u|σ=0的同宿轨道解的存在性.
In this paper we study the homoclinic solutions of the eighth-order differential equation： u（viii） ＋ Au（vi） ＋ Bu（iv） ＋ Cu″-Du-u ｜ u ｜ σ = 0 by mountain-pass theorem of Brezis-Nirenberg and concentration-compactness arguments.
出处
《中央民族大学学报（自然科学版）》
2010年第4期42-45,共4页
Journal of Minzu University of China(Natural Sciences Edition)
基金
教育部留学回国人员科研启动基金资助项目
关键词
八阶微分方程
同宿轨道解
集中紧性原理
山路引理
eighth-order DE
homoclinic solutions
concentration-compactness arguments
mountain-pass theorem
参考文献10
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二级参考文献8
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1高利辉,李成岳.一类立方非线性型八阶常微分方程周期解的多重存在性[J].中央民族大学学报（自然科学版）,2008,17(1):13-18. 被引量：1
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2王学保,蔡果兰.一类超二次六阶半线性微分方程同宿轨道解的存在性[J].中央民族大学学报（自然科学版）,2009,18(S1):18-21.
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3冯培娟,刘晓娜,谢旋.一类满足Costa非二次型条件六阶半线性微分方程同宿轨道解的存在性研究[J].科技传播,2011,3(10):119-119.
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4冯培娟,刘晓娜,谢旋.一类满足Costa非二次型条件六阶半线性微分方程同宿轨道解的存在性研究[J].科技传播,2011,3(11):126-126.
