EN
Periodic and subharmonic solutions for a 2nth-order nonlinear difference equation
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
References
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Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
April 1, 2015
Submission Date
December 2, 2013
Acceptance Date
February 6, 2014
Published in Issue
Year 2015 Volume: 44 Number: 2
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. https://izlik.org/JA58SG66EB
AMA
1.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):351-362. https://izlik.org/JA58SG66EB
Chicago
Liu, Xia, Yuanbiao Zhang, and Haiping Shi. 2015. “Periodic and Subharmonic Solutions for a 2nth-Order Nonlinear Difference Equation”. Hacettepe Journal of Mathematics and Statistics 44 (2): 351-62. https://izlik.org/JA58SG66EB.
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
[1]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, Apr. 2015, [Online]. Available: https://izlik.org/JA58SG66EB
ISNAD
Liu, Xia - Zhang, Yuanbiao - Shi, Haiping. “Periodic and Subharmonic Solutions for a 2nth-Order Nonlinear Difference Equation”. Hacettepe Journal of Mathematics and Statistics 44/2 (April 1, 2015): 351-362. https://izlik.org/JA58SG66EB.
JAMA
1.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, Apr. 2015, pp. 351-62, https://izlik.org/JA58SG66EB.
Vancouver
1.Xia Liu, Yuanbiao Zhang, Haiping Shi. Periodic and subharmonic solutions for a 2nth-order nonlinear difference equation. Hacettepe Journal of Mathematics and Statistics [Internet]. 2015 Apr. 1;44(2):351-62. Available from: https://izlik.org/JA58SG66EB