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Positive
symmetric solutions of a second-order difference equation
Jeffrey T. Neugebauer and Charley L. Seelbach
Vol. 5 (2012), No. 4, 497–504
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Abstract |
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Using an extension of the Leggett–Williams fixed-point theorem due to Avery, Henderson, and Anderson, we prove the existence of solutions for a class of second-order difference equations with Dirichlet boundary conditions, and discuss a specific example. |
Keywords
difference equation, boundary value problem, fixed-point
theorem, positive symmetric solution
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Mathematical Subject Classification 2010
Primary: 39A10
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Milestones
Received: 5 February 2013
Revised: 19 February 2013
Accepted: 20 February 2013
Published: 14 June 2013
Communicated by Johnny Henderson
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Authors |
| Jeffrey T. Neugebauer | |
| Department of Mathematics and
Statistics Eastern Kentucky University 521 Lancaster Avenue 313 Wallace Building Richmond, KY 40475 United States |
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| Charley L. Seelbach | |
| Department of Mathematics and
Statistics Eastern Kentucky University 521 Lancaster Avenue 313 Wallace Building Richmond, KY 40475 United States |
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