Three symmetric positive solutions for Lidstone problems by a generalization of the Leggett-Williams theorem

We study the existence of solutions to the fourth order Lidstone boundary value problem $$displaylines{ y^{(4)}(t) = f(y(t),-y''(t)),cr y(0)=y''(0)=y''(1)=y(1)=0,. }$$ By imposing growth conditions on $f$ and using a generalization of the multiple fixed point theorem by...

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Bibliographic Details
Main Authors: Richard I. Avery, John M. Davis, Johnny Henderson
Format: Article
Language:English
Published: Texas State University 2000-05-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2000/40/abstr.html