Higher-order three-point boundary value problem on time scales

Authors:
Douglas R. Anderson;Ilkay Yaslan Karaca
Affiliations:
Department of Mathematics and Computer Science, Concordia College, Moorhead, MN 56562, USA and Department of Mathematics, Ege University, 35100 Bornova, Izmir, Turkey;Department of Mathematics and Computer Science, Concordia College, Moorhead, MN 56562, USA and Department of Mathematics, Ege University, 35100 Bornova, Izmir, Turkey
Venue:
Computers & Mathematics with Applications
Year:
2008

Citing 2
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Abstract

In this paper, we consider a higher-order three-point boundary value problem on time scales. We study the existence of solutions of a non-eigenvalue problem and of at least one positive solution of an eigenvalue problem. Later we establish the criteria for the existence of at least two positive solutions of a non-eigenvalue problem. Examples are also included to illustrate our results.