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Existence of periodic and subharmonic solutions for second-order superlinear difference equations

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【Author】 GUO Zhiming & YU Jianshe1. Department of Applied Mathematics, Hunan University, Changsha 410082, China;2. Department of Mathematics, Taiyuan Normal College, Taiyuan 030012, China

【机构】 Department of Applied Mathematics； Hunan University； Changsha 410082； China Department of Mathematics； Taiyuan Normal College； Taiyuan 030012； China； China；

【摘要】 <正> By critical point theory, a new approach is provided to study the existence and multiplicity results of periodic and subharmonic solutions for difference equations. For secord-order difference equations△2xn-1+f(n,xn)=0some new results are obtained for the above problems when f(t, z) has superlinear growth at zero and at infinityin z.更多还原

【Abstract】 By critical point theory, a new approach is provided to study the existence and multiplicity results of periodic and subharmonic solutions for difference equations. For secord-order difference equations△2xn-1+f(n,xn)=0some new results are obtained for the above problems when f(t, z) has superlinear growth at zero and at infinityin z.更多还原

【关键词】 super-linear difference equation； periodic solution； subharmonic solution； critical point； linking.；
【Key words】 super-linear difference equation； periodic solution； subharmonic solution； critical point； linking.；

【文献出处】 Science in China,Ser.A ,中国科学A辑(英文版) , 编辑部邮箱 ,2003年04期

【分类号】O175
【被引频次】64
【下载频次】186

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