Existence and Uniqueness of Positive Solitons for a Second-Order Difference Equation
A discrete logistic steady-state equation with both positive and negative birth rate of population will be considered. By using sub- and upper-solution method, the existence of bounded positive solutions and the existence and uniqueness of positive solitons will be established. To this end, the Diri...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2014/503496 |
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| _version_ | 1832558525099802624 |
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| author | Xinfu Li Guang Zhang Ying Wang |
| author_facet | Xinfu Li Guang Zhang Ying Wang |
| author_sort | Xinfu Li |
| collection | DOAJ |
| description | A discrete logistic steady-state equation with both positive and negative birth rate of population will be considered. By using sub- and upper-solution method, the existence of bounded positive solutions and the existence and uniqueness of positive solitons will be established. To this end, the Dirichlet eigenvalue problem with positive and negative coefficients is considered, and a general sub- and upper-solution theorem is also obtained. |
| format | Article |
| id | doaj-art-4fb290d71dba4837b193a6be24840226 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-4fb290d71dba4837b193a6be248402262025-02-03T01:32:09ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2014-01-01201410.1155/2014/503496503496Existence and Uniqueness of Positive Solitons for a Second-Order Difference EquationXinfu Li0Guang Zhang1Ying Wang2School of Science, Tianjin University of Commerce, Tianjin 300134, ChinaSchool of Science, Tianjin University of Commerce, Tianjin 300134, ChinaSchool of Science, Tianjin University of Commerce, Tianjin 300134, ChinaA discrete logistic steady-state equation with both positive and negative birth rate of population will be considered. By using sub- and upper-solution method, the existence of bounded positive solutions and the existence and uniqueness of positive solitons will be established. To this end, the Dirichlet eigenvalue problem with positive and negative coefficients is considered, and a general sub- and upper-solution theorem is also obtained.http://dx.doi.org/10.1155/2014/503496 |
| spellingShingle | Xinfu Li Guang Zhang Ying Wang Existence and Uniqueness of Positive Solitons for a Second-Order Difference Equation Discrete Dynamics in Nature and Society |
| title | Existence and Uniqueness of Positive Solitons for a Second-Order Difference Equation |
| title_full | Existence and Uniqueness of Positive Solitons for a Second-Order Difference Equation |
| title_fullStr | Existence and Uniqueness of Positive Solitons for a Second-Order Difference Equation |
| title_full_unstemmed | Existence and Uniqueness of Positive Solitons for a Second-Order Difference Equation |
| title_short | Existence and Uniqueness of Positive Solitons for a Second-Order Difference Equation |
| title_sort | existence and uniqueness of positive solitons for a second order difference equation |
| url | http://dx.doi.org/10.1155/2014/503496 |
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