Periodic boundary value problems on time scales
We extend the results concerning periodic boundary value problems from the continuous calculus to time scales. First we use the Schauder fixed point theorem and the concept of lower and upper solutions to prove the existence of the solutions and then we investigate a monotone iterative method which...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2005-03-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://dx.doi.org/10.1155/ADE.2005.81 |
| Summary: | We extend the results concerning periodic boundary value problems from the continuous calculus to time scales. First we use the Schauder fixed point theorem and the concept of lower and upper solutions to prove the existence of the solutions and then we investigate a monotone iterative method which could generate some of them. Since this method does not work on each time scale, a condition containing a Lipschitz constant of right-hand side function and the supremum of the graininess function is introduced. |
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| ISSN: | 1687-1839 1687-1847 |