Title

Positive Solutions and Eigenvalues of Conjugate Boundary Value Problems

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.

Department(s)

Mathematics and Statistics

Keywords and Phrases

boundary value problems; examples; positive solutions; special cases; values

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1999 Cambridge University Press, All rights reserved.


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