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Positive
solutions to singular third-order boundary value problems on
purely discrete time scales
Courtney DeHoet, Curtis Kunkel and Ashley Martin
Vol. 6 (2013), No. 1, 113–126
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Abstract |
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We study singular discrete third-order boundary value problems with mixed boundary conditions of the form over a finite discrete interval . We prove the existence of a positive solution by means of the lower and upper solutions method and the Brouwer fixed point theorem in conjunction with perturbation methods to approximate regular problems. |
Keywords
singular discrete boundary value problem, mixed conditions,
lower and upper solutions, Brouwer fixed point theorem,
approximate regular problems
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Mathematical Subject Classification 2010
Primary: 39A10, 34B16, 34B18
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Milestones
Received: 13 June 2012
Revised: 23 July 2012
Accepted: 23 July 2012
Published: 23 June 2013
Communicated by Johnny Henderson
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Authors |
| Courtney DeHoet | |
| Department of Mathematics and
Statistics University of Tennessee at Martin Martin, TN 38238 United States |
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| Curtis Kunkel | |
| Department of Mathematics and
Statistics University of Tennessee at Martin Martin, TN 38238 United States |
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| Ashley Martin | |
| Department of Mathematics and
Statistics University of Tennessee at Martin Martin, TN 38238 United States |
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