Homoclinic Solutions for a Class of Second Order Discrete Hamiltonian Systems 被引量：2

Homoclinic Solutions for a Class of Second Order Discrete Hamiltonian Systems

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摘要 Consider the second order discrete Hamiltonian systems Consider the second order discrete Hamiltonian systems

作者 Xian Hua TANG Xiao Yan LIN

机构地区 School of Mathematical Sciences and Computing Technology Department of Mathematics

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2012年第3期609-622,共14页 数学学报（英文版）

基金 supported by National Natural Science Foundation of China (Grant No. 10771215) the Scientific Research Fund of Hu’nan Provincial Education Department (Grant No. 08A053)

关键词 Homoclinic solution discrete Hamiltonian system critical point Homoclinic solution, discrete Hamiltonian system, critical point

分类号 O241.6 [理学—计算数学]

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参考文献1

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共引文献54

1YU Jianshe GUO Zhiming.Boundary value problems of discrete generalized Emden-Fowler equation[J].Science China Mathematics,2006,49(10):1303-1314. 被引量：14
2Tieshan He, Fengjian Yang, Youfa Lei (Dept. of Computation Science, Zhongkai University of Agriculture and Engineering, Guangzhou 510225, ).THE EXISTENCE OF PERIODIC SOLUTIONS TO SECOND ORDER SELF-ADJOINT DIFFERENCE EQUATIONS[J].Annals of Differential Equations,2010,26(2):155-164.
3张克玉,徐家发.二阶差分方程Robin边值问题非平凡解的存在唯一性[J].应用泛函分析学报,2013,15(2):118-124.
4ZHOU Zhan 1, YU JianShe 1 & CHEN YuMing 21 School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China,2 Department of Mathematics, Wilfrid Laurier University, Waterloo N2L 3C5, Canada.Periodic solutions of a 2nth-order nonlinear difference equation[J].Science China Mathematics,2010,53(1):41-50. 被引量：10
5薛艳昉,唐春雷.二阶离散哈密尔顿系统周期解的存在性和多解性(英文)[J].西南师范大学学报（自然科学版）,2006,31(1):7-12. 被引量：2
6蔡晓春,周梦.二阶离散边值问题的临界点方法[J].湖南大学学报（自然科学版）,2006,33(6):130-132. 被引量：1
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8张会凌.二阶非齐次非线性差分方程与方程组的次调和周期解的多解性[J].兰州大学学报（自然科学版）,2007,43(1):119-125.
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同被引文献4

1李艳艳,郭志明.一类四阶超线性微分方程组的边值问题[J].广州大学学报（自然科学版）,2010,9(3):7-12. 被引量：1
2ZHOU Zhan,YU JianShe,CHEN YuMing.Homoclinic solutions in periodic difference equations with saturable nonlinearity[J].Science China Mathematics,2011,54(1):83-93. 被引量：4
3Zhan ZHOU,Jian She YU.Homoclinic Solutions in Periodic Nonlinear Difference Equations with Superlinear Nonlinearity[J].Acta Mathematica Sinica,English Series,2013,29(9):1809-1822. 被引量：4
4TANG XianHua.Non-Nehari manifold method for asymptotically periodic Schrodinger equations[J].Science China Mathematics,2015,58(4):715-728. 被引量：8

引证文献2

1李艳艳,石艳香.一类四阶超线性微分方程组的同宿解[J].山西大学学报（自然科学版）,2013,36(3):369-374.
2Xian Hua TANG.Non-Nehari Manifold Method for Periodic Discrete Superlinear Schr(o|¨)dinger Equation[J].Acta Mathematica Sinica,English Series,2016,32(4):463-473.

1曾唯尧,王学鑫.HOMOCLINIC SOLUTIONS FOR AUTONOMOUS DIFFERENTIAL EQUATIONS[J].Annals of Differential Equations,1994,10(1):119-124.
2鲁世平,郑亮,陈丽娟.HOMOCLINIC SOLUTIONS FOR A CLASS OF SECOND ORDER NEUTRAL FUNCTIONAL DIFFERENTIAL SYSTEMS[J].Acta Mathematica Scientia,2013,33(5):1361-1374. 被引量：2
3Shi Ping LU.Existence of Homoclinic Solutions for a Class of Neutral Functional Differential Equations[J].Acta Mathematica Sinica,English Series,2012,28(6):1261-1274. 被引量：1
4Yun Xin,Zhibo Cheng.EXISTENCE OF HOMOCLINIC SOLUTIONS TO NONAUTONOMOUS SECOND-ORDER p-LAPLACIAN SYSTEM WITH A COERCIVE POTENTIAL[J].Annals of Applied Mathematics,2015,31(3):345-353. 被引量：1
5郭佳,戴斌祥.Nontrivial Homoclinic Solutions for Second-Order p-Laplacian Differential System with Impulsive Effects[J].Journal of Donghua University(English Edition),2014,31(1):25-32. 被引量：1
6Zhan ZHOU,Jian She YU.Homoclinic Solutions in Periodic Nonlinear Difference Equations with Superlinear Nonlinearity[J].Acta Mathematica Sinica,English Series,2013,29(9):1809-1822. 被引量：4
7ZHOU Zhan,YU JianShe,CHEN YuMing.Homoclinic solutions in periodic difference equations with saturable nonlinearity[J].Science China Mathematics,2011,54(1):83-93. 被引量：4
8LI Cheng-yue.Remarks on homoclinic solutions for semilinear fourth-order ordinary differential equations without periodicity[J].Applied Mathematics(A Journal of Chinese Universities),2009,24(1):49-55. 被引量：2
9陈洋洋,燕乐纬,佘锦炎,陈树辉.Generalized hyperbolic perturbation method for homoclinic solutions of strongly nonlinear autonomous systems[J].Applied Mathematics and Mechanics(English Edition),2012,33(9):1137-1152.
10兰德新,陈文斌.Homoclinic Solutions for a Prescribed Mean Curvature Lienard p-Laplacian Equation with a Deviating Argument[J].Journal of Donghua University(English Edition),2016,33(3):392-398.

Acta Mathematica Sinica,English Series

2012年第3期

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