IJPAM: Volume 100, No. 1 (2015)

POSITIVE SOLUTIONS FOR A COUPLED SYSTEM OF
NONLINEAR SECOND ORDER EIGENVALUE PROBLEMS

Moses B. Akorede$^1$, Peter O. Arawomo$^2$
$^{1,2}$Department of Mathematics
University of Ibadan
Ibadan, NIGERIA


Abstract. In this work, we consider a system of coupled nonlinear second order eigenvalue problems. Under suitable conditions, existence of positive solutions are established, for determined eigenvalues, by the use of abstract fixed-point.

Received: September 25, 2014

AMS Subject Classification: 34L15

Key Words and Phrases: eigenvalue problem, positive solutions, compact operator, fixed-point, cone

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DOI: 10.12732/ijpam.v100i1.3 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 100
Issue: 1
Pages: 19 - 28


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