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Eigenvalue characterization for (n · p) boundary-value problems

Published online by Cambridge University Press:  17 February 2009

Patricia J. Y. Wong  and
Ravi P. Agarwal
Patricia J. Y. Wong
Affiliation:
Division of Mathematics, Nanyang Technological University, 469 Bokit Timah Road, Singapore259756
Ravi P. Agarwal
Affiliation:
Department of Mathematics, National University of Singapore, 10 Kent Ridge Crescent, Singapore119260
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Abstract

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We consider the (n, p) boundary value problem

where λ > 0 and 0 ≤ p ≤ n - l is fixed. We characterize the values of λ such that the boundary value problem has a positive solution. For the special case λ = l, we also offer sufficient conditions for the existence of positive solutions of the boundary value problem.

Type
Research Article
Information
The ANZIAM Journal , Volume 39 , Issue 3 , January 1998 , pp. 386 - 407
Copyright
Copyright © Australian Mathematical Society 1998

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