Positive Solutions for a nonlinear n-th order m-point boundary-value problem

Using the Leggett-Williams fixed point theorem in cones, we prove the existence of at least three positive solutions to the nonlinear $n$-th order $m$-point boundary-value problem $$displaylines{ Delta^{n}u(k)+a(k)f(k,u)=0, quad kin {0,N},cr u(0)=0,; Delta u(0)=0, dots, Delta^{n-2}u(0)=0,quad...

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Bibliographic Details
Main Authors: Jiehua Zhang, Yanping Guo, Yude Ji
Format: Article
Language:English
Published: Texas State University 2011-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2011/83/abstr.html