| 位势可变号的二阶自伴差分系统的同宿轨道（英文） |
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| 引用本文： | 何小飞,陈鹏.位势可变号的二阶自伴差分系统的同宿轨道（英文）[J].吉首大学学报(自然科学版),2011,32(3):14-18. |
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| 作者姓名： | 何小飞 陈鹏 |
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| 作者单位： | （1．吉首大学数学与计算机科学学院，湖南 吉首 416000；2.中南大学数学科学与计算技术学院，湖南 长沙 410083） |
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| 基金项目： | Scientific Research Fund of Hunan Province(09JJ6010) |
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| 摘 要： | 研究了一类二阶自伴差分系统——非平凡同宿轨道的存在性问题.在位势满足超线性条件下,利用山路引理和对称山路引理,得到了位势非周期且可变号的情形下系统同宿轨道的存在性结果.
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| 关 键 词： | 同宿轨道 差分系统 山路引理 |
Homoclinic Orbits for Second Order Self-Adjoint Difference System with a Change of Sign in the Potential |
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| HE Xiao-fei,CHEN Peng.Homoclinic Orbits for Second Order Self-Adjoint Difference System with a Change of Sign in the Potential[J].Journal of Jishou University(Natural Science Edition),2011,32(3):14-18. |
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| Authors: | HE Xiao-fei CHEN Peng |
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| Institution: | (1.Department of Mathematics and Computer Science,Jishou University,Jishou 416000,Hunan China;2.School of Mathematical Sciences and Computing Technology,Central South University,Changsha 410083,China) |
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| Abstract: | The authors we study the existence of nontrivial homoclinic orbits of the second self-adjoint difference systemΔ2 u（t-1）-q（t）u（t）＋▽V（t,u（t））=0 t∈Z,u∈Rm.Under superquadratic conditions,by using the Mountain Pass Theorem and the Symmetric Mountain Pass Theorem,some existence theorems are established for the existence of homoclinic orbits for the above nonautonomous Hamiltonian systems with a change of sign in the potential. |
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| Keywords: | homoclinic orbits difference system Mountain Pass Theorem |
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