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《Journal of Nantong Institute of Technology(Natural Science)》 2002-01
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Periodic Solutions of Superlinear Equations with Positive Weight

ZHANG Xiao-mei,QIAN Feng,GONG Hai-ping(Nantong Institute of Technology,Nantong226007,China)  
In this paper,we prove the existence of infinitely many T-periodic solutions for a class of the system of the form x'=y+(t,y),y'=-q(t)g(x)+(t,x),where weight function q:(-∞,+∞)→1+∞)is a C 1 and periodic function with period T0and(·,·),(·,·)are bounded and continuous functions with T-periodic in the first variable if g:R→R ,a locally Lipschitz continuous function,satisfies certain weaker conditions than superlinear growth at infinity.The proof of the main result is based on a generalized version of the Poincaré-Birkhoff twist theorem due to Ding W .
【Fund】: 南通工学院自然科学基金资助项目(002001)
【CateGory Index】: O175.1
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