Existence of solutions for a two-point boundary-value problem of a fourth-order Sturm-Liouville type

In this work, we establish the existence of two intervals for a parameter $lambda$ for which a two-point boundary-value problem of fourth-order Sturm-Liouville type admits three weak solutions whose norms are uniformly bounded with respect to $lambda$. Employing two three critical point theorems...

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Bibliographic Details
Main Author: Shapour Heidarkhani
Format: Article
Language:English
Published: Texas State University 2012-05-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2012/84/abstr.html