Nontrivial Periodic Solutions for Nonlinear Second-Order Difference Equations
This paper is concerned with the existence of nontrivial periodic solutions and positive periodic solutions to a nonlinear second-order difference equation. Under some conditions concerning the first positive eigenvalue of the linear equation corresponding to the nonlinear second-order equation, we...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2011/153082 |
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| _version_ | 1832551729833443328 |
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| author | Tieshan He Yimin Lu Youfa Lei Fengjian Yang |
| author_facet | Tieshan He Yimin Lu Youfa Lei Fengjian Yang |
| author_sort | Tieshan He |
| collection | DOAJ |
| description | This paper is concerned with the existence of nontrivial periodic solutions and positive periodic solutions to a nonlinear second-order difference equation. Under some conditions concerning the first positive eigenvalue of the linear equation corresponding to the nonlinear second-order equation, we establish the existence results by using the topological degree and fixed point index theories. |
| format | Article |
| id | doaj-art-3d67636c51aa472c975c1c0822c74a6f |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-3d67636c51aa472c975c1c0822c74a6f2025-02-03T06:00:40ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2011-01-01201110.1155/2011/153082153082Nontrivial Periodic Solutions for Nonlinear Second-Order Difference EquationsTieshan He0Yimin Lu1Youfa Lei2Fengjian Yang3School of Computational Science, Zhongkai University of Agriculture and Engineering, Guangdong, Guangzhou 510225, ChinaSchool of Chemistry and Chemical Engineering, Zhongkai University of Agriculture and Engineering, Guangdong, Guangzhou 510225, ChinaSchool of Computational Science, Zhongkai University of Agriculture and Engineering, Guangdong, Guangzhou 510225, ChinaSchool of Computational Science, Zhongkai University of Agriculture and Engineering, Guangdong, Guangzhou 510225, ChinaThis paper is concerned with the existence of nontrivial periodic solutions and positive periodic solutions to a nonlinear second-order difference equation. Under some conditions concerning the first positive eigenvalue of the linear equation corresponding to the nonlinear second-order equation, we establish the existence results by using the topological degree and fixed point index theories.http://dx.doi.org/10.1155/2011/153082 |
| spellingShingle | Tieshan He Yimin Lu Youfa Lei Fengjian Yang Nontrivial Periodic Solutions for Nonlinear Second-Order Difference Equations Discrete Dynamics in Nature and Society |
| title | Nontrivial Periodic Solutions for Nonlinear Second-Order Difference Equations |
| title_full | Nontrivial Periodic Solutions for Nonlinear Second-Order Difference Equations |
| title_fullStr | Nontrivial Periodic Solutions for Nonlinear Second-Order Difference Equations |
| title_full_unstemmed | Nontrivial Periodic Solutions for Nonlinear Second-Order Difference Equations |
| title_short | Nontrivial Periodic Solutions for Nonlinear Second-Order Difference Equations |
| title_sort | nontrivial periodic solutions for nonlinear second order difference equations |
| url | http://dx.doi.org/10.1155/2011/153082 |
| work_keys_str_mv | AT tieshanhe nontrivialperiodicsolutionsfornonlinearsecondorderdifferenceequations AT yiminlu nontrivialperiodicsolutionsfornonlinearsecondorderdifferenceequations AT youfalei nontrivialperiodicsolutionsfornonlinearsecondorderdifferenceequations AT fengjianyang nontrivialperiodicsolutionsfornonlinearsecondorderdifferenceequations |