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.
Recommended Citation
M. Bohner et al., "Positive Solutions and Eigenvalues of Conjugate Boundary Value Problems," Proceedings of the Edinburgh Mathematical Society, Cambridge University Press, Jan 1999.
The definitive version is available at https://doi.org/10.1017/S0013091500020307
Department(s)
Mathematics and Statistics
Keywords and Phrases
boundary value problems; examples; positive solutions; special cases; values
International Standard Serial Number (ISSN)
0013-0915
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 1999 Cambridge University Press, All rights reserved.
Publication Date
01 Jan 1999
