ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations
and
Control Processes

Multiple Solutions for Nonlinear Eigenvalue Problem

Author(s):

Victor F. Payne

Senior Lecturer,
Department of Mathematics,
University of Ibadan,
Ibadan, Nigeria.
Tel: +2348023902335

vfolayapayne@yahoo.com

Abstract:

We obtain a sequence of eigenvalues for which there exist countably many positive solutions of a fourth-order, singular boundary value problem. These positive eigenfunctions correspond to the sequence of eigenvalues greather or equal to 1 (counting multiplicity). The methods involve application of the fixed point arguments of the Krasnosel'skii cone expansion-compression type and Holder's inequality.

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