Open AccessPOSITIVE SOLUTIONS OF NTH-ORDER BOUNDARY VALUE PROBLEMS WITH INTEGRAL BOUNDARY CONDITIONS
Author(s) -
Ilkay Yaslan Karaca,
Fatma Tokmak Fen
Publication year - 2015
Publication title -
mathematical modelling and analysis/mathematical modeling and analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 25
eISSN - 1648-3510
pISSN - 1392-6292
DOI - 10.3846/13926292.2015.1020531
Subject(s) - mathematics , fixed point theorem , boundary value problem , order (exchange) , mathematical analysis , fixed point , boundary (topology) , mixed boundary condition , value (mathematics) , statistics , finance , economics
In this paper, by using double fixed point theorem and a new fixed point theorem, some sufficient conditions for the existence of at least two and at least three positive solutions of an nth-order boundary value problem with integral boundary conditions are established, respectively. We also give two examples to illustrate our main results.