| Existence of periodic and subharmonic solutions for second-order superlinear difference equations |
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| 作者姓名： | 郭志明 庾建设 |
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| 作者单位： | Department of Applied Mathematics，Hunan University，Changsha 410082，China Department of Mathematics，Taiyuan Normal College，Taiyuan 030012，China，Department of Applied Mathematics，Hunan University，Changsha 410082，China |
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| 基金项目： | 教育部跨世纪优秀人才培养计划 |
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| 摘 要： | 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.
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Existence of periodic and subharmonic solutions for second-order superlinear difference equations |
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| Zhiming Guo and Jianshe Yu.Existence of periodic and subharmonic solutions for second-order superlinear difference equations[J].Science in China(Mathematics),2003,46(4):506-515. |
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| Authors: | Zhiming Guo and Jianshe Yu |
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| Institution: | 1. Department of Applied Mathematics, Hunan University, Changsha 410082;Department of Mathematics, Taiyuan Normal College, Taiyuan 030012, China
2. Department of Applied Mathematics, Hunan University, Changsha 410082 |
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| 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) = 0,some new results are obtained for the above problems when f(t, z) has superlinear growth at zero and at infinity in z. |
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| Keywords: | super-linear difference equation periodic solution subharmonic solution critical point linking |
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