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Existence of positive solutions for fourth‐order impulsive integral boundary value problems on time scales
Authors:Fatma Tokmak Fen  Ilkay Yaslan Karaca
Affiliation:1. Department of Mathematics, Gazi University, Teknikokullar, Ankara, Turkey;2. Department of Mathematics, Ege University, Bornova, Izmir, Turkey
Abstract:This paper is devoted to the existence of positive solutions for a fourth‐order impulsive boundary value problem with integral boundary conditions on time scales. Existence results of at least two and three positive solutions are established via the double fixed point theorem and six functionals fixed point theorem, respectively. Also, an example is given to illustrate the theoretical results. Copyright © 2017 John Wiley & Sons, Ltd.
Keywords:time scales  impulsive boundary value problems  double fixed point theorem  six functionals fixed point theorem  integral boundary conditions  positive solutions
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