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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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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
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