Positive Solutions of a Fourth-Order Differential Equation with Multipoint Boundary Conditions
https://doi.org/10.1007/s10013-014-0072-4Publisher, magazine: ,
Publication year: 2015
Lưu Trích dẫn Chia sẻAbstract
This paper is devoted to the study of the following fourth-order multipoint boundary value problem: {x(4)(t)=λf(t,x(t),x′(t),x′′(t)),0<t<1,x(2k+1)(0)=0,x(2k)(1)=∑m−2i=1αkix(2k)(ηki),(k=0,1). We obtain some sufficient conditions for the existence of at least one or triple positive solutions by using the fixed point theory in cone.
Tags: Boundary value problem; Positive solution; Leggett–Williams fixed point theorem; Guo–Krasnosel’skii fixed point theorem
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