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Existence of positive solutions for fourth‐order impulsive integral boundary value problems on time scales
Author(s) -
Tokmak Fen Fatma,
Yaslan Karaca Ilkay
Publication year - 2017
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4420
Subject(s) - mathematics , fixed point theorem , boundary value problem , fixed point , order (exchange) , mathematical analysis , value (mathematics) , statistics , finance , economics
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.