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