Positive solutions of a nonlinear higher order boundary-value problem

The authors consider the higher order boundary-value problem $$displaylines{ u^{(n)}(t)= q(t)f(u(t)), quad 0 leq t leq 1, cr u^{(i-1)}(0) = u^{(n-2)}(p) = u^{(n-1)}(1)=0, quad 1 leq i leq n-2, }$$ where $nge 4$ is an integer, and $pin(1/2,1)$ is a constant. Sufficient conditions for the existence an...

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Bibliographic Details
Main Authors: John R. Graef, Johnny Henderson, Bo Yang
Format: Article
Language:English
Published: Texas State University 2007-03-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2007/45/abstr.html