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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| Format: | Article |
| Language: | English |
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Hindawi Limited
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/925290 |
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doaj-36b331495512437ea516a6d549d967f3 |
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Article |
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doaj-36b331495512437ea516a6d549d967f32020-11-24T23:24:14ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/925290925290Multiplicity of Periodic Solutions for a Higher Order Difference EquationRonghui Hu0College of Science, Hunan Institute of Engineering, Xiangtan, Hunan 411104, ChinaWe 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.http://dx.doi.org/10.1155/2014/925290 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Ronghui Hu |
| spellingShingle |
Ronghui Hu Multiplicity of Periodic Solutions for a Higher Order Difference Equation Abstract and Applied Analysis |
| author_facet |
Ronghui Hu |
| author_sort |
Ronghui Hu |
| title |
Multiplicity of Periodic Solutions for a Higher Order Difference Equation |
| title_short |
Multiplicity of Periodic Solutions for a Higher Order Difference Equation |
| title_full |
Multiplicity of Periodic Solutions for a Higher Order Difference Equation |
| title_fullStr |
Multiplicity of Periodic Solutions for a Higher Order Difference Equation |
| title_full_unstemmed |
Multiplicity of Periodic Solutions for a Higher Order Difference Equation |
| title_sort |
multiplicity of periodic solutions for a higher order difference equation |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2014-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/2014/925290 |
| work_keys_str_mv |
AT ronghuihu multiplicityofperiodicsolutionsforahigherorderdifferenceequation |
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