Positive solutions and eigenvalues of conjugate boundary value problems-Reference-Cited by-同舟云学术

Positive solutions and eigenvalues of conjugate boundary value problems

Published:1999-06 Issue:2 Volume:42 Page:349-374
ISSN:0013-0915
Container-title:Proceedings of the Edinburgh Mathematical Society
language:en
Short-container-title:Proceedings of the Edinburgh Mathematical Society

Author:

Agarwal Ravi P.,Bohner Martin,Wong Patricia J. Y.

Abstract

We consider the following boundary value problem

where λ > 0 and 1 ≤ p ≤ n – 1 is fixed. The values of λ are characterized so that the boundary value problem has a positive solution. Further, for the case λ = 1 we offer criteria for the existence of two positive solutions of the boundary value problem. Upper and lower bounds for these positive solutions are also established for special cases. Several examples are included to dwell upon the importance of the results obtained.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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