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

Xia Liu; Yuanbiao Zhang; Haiping Shi

Research Article

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

Year 2015, Volume: 44 Issue: 2, 351 - 362, 01.04.2015

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

References

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Year 2015, Volume: 44 Issue: 2, 351 - 362, 01.04.2015

Xia Liu , Yuanbiao Zhang Haiping Shi

Abstract

References

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There are 1 citations in total.

Details

Primary Language	English
Subjects	Mathematical Sciences
Journal Section	Mathematics
Authors	Xia Liu Yuanbiao Zhang This is me Haiping Shi This is me
Publication Date	April 1, 2015
Published in Issue	Year 2015 Volume: 44 Issue: 2

Cite

APA	Liu, X., Zhang, Y., & Shi, H. (2015). Periodic and subharmonic solutions for a 2nth-order nonlinear difference equation. Hacettepe Journal of Mathematics and Statistics, 44(2), 351-362.
AMA	Liu X, Zhang Y, Shi H. Periodic and subharmonic solutions for a 2nth-order nonlinear difference equation. Hacettepe Journal of Mathematics and Statistics. April 2015;44(2):351-362.
Chicago	Liu, Xia, Yuanbiao Zhang, and Haiping Shi. “Periodic and Subharmonic Solutions for a 2nth-Order Nonlinear Difference Equation”. Hacettepe Journal of Mathematics and Statistics 44, no. 2 (April 2015): 351-62.
EndNote	Liu X, Zhang Y, Shi H (April 1, 2015) Periodic and subharmonic solutions for a 2nth-order nonlinear difference equation. Hacettepe Journal of Mathematics and Statistics 44 2 351–362.
IEEE	X. Liu, Y. Zhang, and H. Shi, “Periodic and subharmonic solutions for a 2nth-order nonlinear difference equation”, Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 2, pp. 351–362, 2015.
ISNAD	Liu, Xia et al. “Periodic and Subharmonic Solutions for a 2nth-Order Nonlinear Difference Equation”. Hacettepe Journal of Mathematics and Statistics 44/2 (April 2015), 351-362.
JAMA	Liu X, Zhang Y, Shi H. Periodic and subharmonic solutions for a 2nth-order nonlinear difference equation. Hacettepe Journal of Mathematics and Statistics. 2015;44:351–362.
MLA	Liu, Xia et al. “Periodic and Subharmonic Solutions for a 2nth-Order Nonlinear Difference Equation”. Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 2, 2015, pp. 351-62.
Vancouver	Liu X, Zhang Y, Shi H. Periodic and subharmonic solutions for a 2nth-order nonlinear difference equation. Hacettepe Journal of Mathematics and Statistics. 2015;44(2):351-62.