Multiplicity of Periodic Solutions for a Higher Order Difference Equation

Abstract and Applied Analysis ◽

10.1155/2014/925290 ◽

2014 ◽

Vol 2014 ◽

pp. 1-7

Author(s):

Ronghui Hu

Keyword(s):

Difference Equation ◽

Periodic Solutions ◽

Higher Order ◽

Critical Groups ◽

Order Difference ◽

Reduction Methods ◽

Order Difference Equation

We study a higher order difference equation. By Lyapunov-Schmidt reduction methods and computations of critical groups, we prove that the equation has fourM-periodic solutions.

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Anti-periodic solutions for a higher order difference equation with p-Laplacian

Journal of Applied Analysis ◽

10.1515/jaa-2017-0015 ◽

2017 ◽

Vol 23 (2) ◽

Cited By ~ 4

Author(s):

Lingju Kong ◽

Jacob Parsley ◽

Kaitlin Rizzo ◽

Nicholas Russell

Keyword(s):

Difference Equation ◽

Periodic Solutions ◽

Higher Order ◽

Order Difference ◽

Order Difference Equation

AbstractA higher order difference equation is studied. The equation is defined on

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Existence and global attractivity of periodic solutions in a higher order difference equation

Archivum Mathematicum ◽

10.5817/am2018-2-91 ◽

2018 ◽

pp. 91-110 ◽

Cited By ~ 1

Author(s):

Chuanxi Qian ◽

Justin Smith

Keyword(s):

Difference Equation ◽

Periodic Solutions ◽

Global Attractivity ◽

Higher Order ◽

Order Difference ◽

Order Difference Equation

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Global attractivity of periodic solutions in a higher order difference equation

Applied Mathematics Letters ◽

10.1016/j.aml.2012.12.005 ◽

2013 ◽

Vol 26 (5) ◽

pp. 578-583 ◽

Cited By ~ 8

Author(s):

Chuanxi Qian

Keyword(s):

Difference Equation ◽

Periodic Solutions ◽

Global Attractivity ◽

Higher Order ◽

Order Difference ◽

Order Difference Equation

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Boundedness and global stability of a higher-order difference equation

The Journal of Difference Equations and Applications ◽

10.1080/10236190802332258 ◽

2008 ◽

Vol 14 (10-11) ◽

pp. 1035-1044 ◽

Cited By ~ 5

Author(s):

Stevo Stević

Keyword(s):

Difference Equation ◽

Global Stability ◽

Higher Order ◽

Order Difference ◽

Order Difference Equation

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On the Higher Order Difference Equation x_{n+1} = (x_{n-k+1})/(-1+x_{n}x_{n-1}...x_{n-k+1})

Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing (SNPD 2007) ◽

10.1109/snpd.2007.547 ◽

2007 ◽

Author(s):

L. Y. Wang ◽

D. C. Zhang ◽

X. Y. Zeng

Keyword(s):

Difference Equation ◽

Higher Order ◽

Order Difference ◽

Order Difference Equation

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Homoclinic solutions for a higher order difference equation

Applied Mathematics Letters ◽

10.1016/j.aml.2018.06.033 ◽

2018 ◽

Vol 86 ◽

pp. 186-193 ◽

Cited By ~ 2

Author(s):

Lingju Kong

Keyword(s):

Difference Equation ◽

Higher Order ◽

Homoclinic Solutions ◽

Order Difference ◽

Order Difference Equation

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Global behavior of a higher order difference equation

International Journal of Contemporary Mathematical Sciences ◽

10.12988/ijcms.2017.7413 ◽

2017 ◽

Vol 12 ◽

pp. 133-138 ◽

Cited By ~ 5

Author(s):

Ramazan Karatas

Keyword(s):

Difference Equation ◽

Higher Order ◽

Global Behavior ◽

Order Difference ◽

Order Difference Equation

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Existence of Periodic Solutions for a 2 $$n$$ n th-Order Difference Equation Involving $$p$$ p -Laplacian

Bulletin of the Malaysian Mathematical Sciences Society ◽

10.1007/s40840-014-0066-0 ◽

2014 ◽

Vol 38 (3) ◽

pp. 1107-1125 ◽

Cited By ~ 4

Author(s):

Xia Liu ◽

Yuanbiao Zhang ◽

Haiping Shi ◽

Xiaoqing Deng

Keyword(s):

Difference Equation ◽

Periodic Solutions ◽

Order Difference ◽

Order Difference Equation ◽

Existence Of Periodic Solutions

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Homoclinic solutions for a higher order difference equation with p-Laplacian

Indagationes Mathematicae ◽

10.1016/j.indag.2015.08.007 ◽

2016 ◽

Vol 27 (1) ◽

pp. 124-146 ◽

Cited By ~ 4

Author(s):

Lingju Kong

Keyword(s):

Difference Equation ◽

Higher Order ◽

Homoclinic Solutions ◽

Order Difference ◽

Order Difference Equation

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On the Dynamics of a Higher-Order Difference Equation

Discrete Dynamics in Nature and Society ◽

10.1155/2012/263053 ◽

2012 ◽

Vol 2012 ◽

pp. 1-8

Author(s):

H. El-Metwally

Keyword(s):

Difference Equation ◽

Higher Order ◽

Order Difference ◽

Order Difference Equation

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