Multiplicity of Periodic Solutions for a Higher 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 four M -periodic solutions.

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Bibliographic Details
Published inAbstract and Applied Analysis Vol. 2014; no. 2014; pp. 1 - 7
Main Author Hu, Ronghui
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Limiteds 01.01.2014
Hindawi Publishing Corporation
Hindawi Limited
Wiley
Subjects
Boundary value problems
Calculus
Difference equations
Liapunov functions
Mathematical problems
Mathematical research
Periodic functions
Power plants
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Summary:We study a higher order difference equation. By Lyapunov-Schmidt reduction methods and computations of critical groups, we prove that the equation has four M -periodic solutions.
ISSN:1085-3375
1687-0409
DOI:10.1155/2014/925290