Method of Lower and Upper Solutions for Elliptic Systems with Nonlinear Boundary Condition and Its Applications
We develop the method of lower and upper solutions for a class of elliptic systems with nonlinear boundary conditions. As its application, an elliptic system modeling a population divided into juvenile and adult age groups is studied, and we find sufficient conditions in terms of the principal eigen...
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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: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/705298 |
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| _version_ | 1832568090504724480 |
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| author | Ruyun Ma Ruipeng Chen Yanqiong Lu |
| author_facet | Ruyun Ma Ruipeng Chen Yanqiong Lu |
| author_sort | Ruyun Ma |
| collection | DOAJ |
| description | We develop the method of lower and upper solutions for a class of elliptic systems with nonlinear boundary conditions. As its application, an elliptic system modeling a population divided into juvenile and adult age groups is studied, and we find sufficient conditions in terms of the principal eigenvalue of the corresponding linearized system, to guarantee the existence of coexistence states of the above juvenile-adult model. |
| format | Article |
| id | doaj-art-947a9da529454935819d81a3fee0293e |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-947a9da529454935819d81a3fee0293e2025-02-03T00:59:50ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/705298705298Method of Lower and Upper Solutions for Elliptic Systems with Nonlinear Boundary Condition and Its ApplicationsRuyun Ma0Ruipeng Chen1Yanqiong Lu2Department of Mathematics, Northwest Normal University, Lanzhou 730070, ChinaDepartment of Mathematics, Northwest Normal University, Lanzhou 730070, ChinaDepartment of Mathematics, Northwest Normal University, Lanzhou 730070, ChinaWe develop the method of lower and upper solutions for a class of elliptic systems with nonlinear boundary conditions. As its application, an elliptic system modeling a population divided into juvenile and adult age groups is studied, and we find sufficient conditions in terms of the principal eigenvalue of the corresponding linearized system, to guarantee the existence of coexistence states of the above juvenile-adult model.http://dx.doi.org/10.1155/2014/705298 |
| spellingShingle | Ruyun Ma Ruipeng Chen Yanqiong Lu Method of Lower and Upper Solutions for Elliptic Systems with Nonlinear Boundary Condition and Its Applications Journal of Applied Mathematics |
| title | Method of Lower and Upper Solutions for Elliptic Systems with Nonlinear Boundary Condition and Its Applications |
| title_full | Method of Lower and Upper Solutions for Elliptic Systems with Nonlinear Boundary Condition and Its Applications |
| title_fullStr | Method of Lower and Upper Solutions for Elliptic Systems with Nonlinear Boundary Condition and Its Applications |
| title_full_unstemmed | Method of Lower and Upper Solutions for Elliptic Systems with Nonlinear Boundary Condition and Its Applications |
| title_short | Method of Lower and Upper Solutions for Elliptic Systems with Nonlinear Boundary Condition and Its Applications |
| title_sort | method of lower and upper solutions for elliptic systems with nonlinear boundary condition and its applications |
| url | http://dx.doi.org/10.1155/2014/705298 |
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