Existence and Positivity of Solutions for a Second-Order Boundary Value Problem with Integral Condition
This work is devoted to the study of uniqueness and existence of positive solutions for a second-order boundary value problem with integral condition. The arguments are based on Banach contraction principle, Leray Schauder nonlinear alternative, and Guo-Krasnosel’skii fixed point theorem in cone. T...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2012/471975 |
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| _version_ | 1832565237685944320 |
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| author | Assia Guezane-Lakoud Hamidane Nacira Khaldi Rabah |
| author_facet | Assia Guezane-Lakoud Hamidane Nacira Khaldi Rabah |
| author_sort | Assia Guezane-Lakoud |
| collection | DOAJ |
| description | This work is devoted to the study of uniqueness and existence of positive solutions for a second-order boundary value problem with integral condition. The arguments are based on Banach contraction principle, Leray Schauder nonlinear alternative, and Guo-Krasnosel’skii fixed point theorem in cone. Two examples are also given to illustrate the main results. |
| format | Article |
| id | doaj-art-656e4805ec9a4cd99c8ce40f01740554 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-656e4805ec9a4cd99c8ce40f017405542025-02-03T01:08:56ZengWileyInternational Journal of Differential Equations1687-96431687-96512012-01-01201210.1155/2012/471975471975Existence and Positivity of Solutions for a Second-Order Boundary Value Problem with Integral ConditionAssia Guezane-Lakoud0Hamidane Nacira1Khaldi Rabah2Laboratory of Advanced Materials, Faculty of Sciences, Badji Mokhtar-Annaba University, P.O. Box 12, 23000 Annaba, AlgeriaLaboratory of Advanced Materials, Faculty of Sciences, Badji Mokhtar-Annaba University, P.O. Box 12, 23000 Annaba, AlgeriaLaboratory LASEA, Faculty of Sciences, Badji Mokhtar-Annaba University, P.O. Box 12, 23000 Annaba, AlgeriaThis work is devoted to the study of uniqueness and existence of positive solutions for a second-order boundary value problem with integral condition. The arguments are based on Banach contraction principle, Leray Schauder nonlinear alternative, and Guo-Krasnosel’skii fixed point theorem in cone. Two examples are also given to illustrate the main results.http://dx.doi.org/10.1155/2012/471975 |
| spellingShingle | Assia Guezane-Lakoud Hamidane Nacira Khaldi Rabah Existence and Positivity of Solutions for a Second-Order Boundary Value Problem with Integral Condition International Journal of Differential Equations |
| title | Existence and Positivity of Solutions for a Second-Order Boundary Value Problem with Integral Condition |
| title_full | Existence and Positivity of Solutions for a Second-Order Boundary Value Problem with Integral Condition |
| title_fullStr | Existence and Positivity of Solutions for a Second-Order Boundary Value Problem with Integral Condition |
| title_full_unstemmed | Existence and Positivity of Solutions for a Second-Order Boundary Value Problem with Integral Condition |
| title_short | Existence and Positivity of Solutions for a Second-Order Boundary Value Problem with Integral Condition |
| title_sort | existence and positivity of solutions for a second order boundary value problem with integral condition |
| url | http://dx.doi.org/10.1155/2012/471975 |
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