Periodic and subharmonic solutions for a 2nth-order nonlinear difference equation

Authors : Xia LİU, Yuanbiao ZHANG, Haiping SHİ

Pages : 351-362

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Publication Date : 2015-04-01

Article Type : Research Paper

Abstract :By using the critical point method, some new criteria are obtained for the existence and multiplicity of periodic and subharmonic solutions to a 2nth-order nonlinear difference equation. The proof is based on the Linking Theorem in combination with variational technique. Our results generalize and improve some known ones.
Keywords : Periodic and subharmonic solutions, 2nth order, Nonlinear difference equations, Discrete variational theory