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《Journal of Northwest University for Nationalities(Natural Science)》 2009-01
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Periodic Solution of a Class of Sublinear Second OrderSystems at Resonance

ZHANG Shen-gui,JIAO Yu-juan (Computer Science and Information Engineering College of Northwest University for Nationalities, Lanzhou Gansu 730030, China)  
With saddle point theorem, the existence of periodic solution for a class of sublinear second order system is researched as follows:{ü(t)+Au(t)+▽F(t,u(t))=O a·e·t∈(O,2π)u(0)-u(2π)=u(0)-u(2π) The symmetric matric A has eigenvalue k 2 and ▽F(t ,u) satisfy sublinear conidition.
【CateGory Index】: O175.25
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【Citations】
Chinese Journal Full-text Database 1 Hits
1 HAN Zhi-qing (Institute of Mathematicol Sciences, Dalian University of Technology, Dalian 116024, P. R. China) (E-mail: hanzhiq@dlut.edu.cn);2π-Periodic Solutions to Ordinary Differential Systems at Resonance[J];ACTA MATHEMATICA SINICA;2000-04
【Co-citations】
Chinese Journal Full-text Database 6 Hits
1 TANG Chun - lei (Dept.of Mathematics,Southwest China Normal University,Chongqing 400715,China);Applications of the Minimax Methods to the Second Order Hamiltonian Systems[J];Journal of Chongqing Vocational & Technical Institute;2003-04
2 SHU Xiaobao (Department of Mathematics,Hunan University,Changsha 410082);INFINITELY MANY SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR A CLASS OF SECOND-ORDER ORDINARY DIFFERENTIAL EQUATIONS[J];Journal of Systems Science and Mathematical Sciences;2008-01
3 TAO Zhulian1, 2, TANG Chunlei11. Dept. of Mathematics, Southwest China Normal University, Chongqing 400715, China; 2. Dept. of Mathematics, Logistics Eengineering University, Chongqing 400016, China;Periodic Solutions of Nonquadratic Second Order Hamiltonian Systems[J];Journalof Southwest China Normal University(Natural Science);2002-06
4 WAN Li-ping,TANG Chun-leiSchool of Mathematics and Finance,Southwest University,Chongqing 400715,China;Existence and Multiplicity of Solutions of Second-order Hamiltonian Systems[J];Journal of Southwest China Normal University(Natural Science Edition);2006-01
5 SHU Xiao-bao1,ZHU Quan-xin2 (1.Department of Mathematics,Hunan University,Changsha 410082,China;2.Department of Mathematics,South China Normal University,Guangzhou 510631,China);Multiple Solutions of Boundary Value Problems for a Class of Second-order Ordinary Differential Equations[J];Mathematica Applicata;2006-01
6 SHI Yi-xia,WU Ying-ying,ZHOU Xu(School of Mathematics and Computational Science,Zhanjiang Normal College,Zhanjiang,Guangdong 524048,China);The Existence Theorems for Periodic Solutions of Generalized Second-Order Sysytem[J];Journal of Zhanjiang Normal College;2007-03
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