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Periodic and subharmonic solutions for second-order nonlinear difference equations

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Abstract

This paper proves the existence and multiplicity of periodic and subharmonic solutions for second-order nonlinear difference equations by using the critical point method. The main approach used in our paper is a variational technique and the Linking Theorem. One of our results generalizes and improves the result in the literature.

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Acknowledgments

This project is supported by the Specialized Research Fund for the Doctoral Program of Higher Eduction of China (No. 20114410110002), National Natural Science Foundation of China (No. 11101098) and Natural Science Foundation of Guangdong Province (No. S2013010014460).

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  1. Modern Business and Management Department, Guangdong Construction Vocational Technology Institute, Guangzhou , 510450, China

    Haiping Shi

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Shi, H. Periodic and subharmonic solutions for second-order nonlinear difference equations. J. Appl. Math. Comput. 48, 157–171 (2015). https://doi.org/10.1007/s12190-014-0796-z

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