Publication

EXISTENCE OF POSITIVE SOLUTIONS FOR SINGULAR ORDINARY DIFFERENTIAL EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS

Bobisud, L. E.
; 
O'Regan, Donal
Identifiers
http://hdl.handle.net/10379/8882
 https://doi.org/10.13025/24307
Publication Date
1996-07-01
Keywords
boundary value problems, nonlinear boundary conditions, nonlinear alternative
Type
journal article
Downloads
Show all metadata
Citation
Bobisud, L. E. O'Regan, Donal (1996). EXISTENCE OF POSITIVE SOLUTIONS FOR SINGULAR ORDINARY DIFFERENTIAL EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS. Proceedings of the American Mathematical Society 124 (7), 2081-2087
Abstract
We prove the existence of nonnegative solutions of the problem (py')'/p + mu qg(x, y) = 0, lim(x-->0+)py' = 0, h(y'(1)) + y(1) = 0 for a physically motivated class of nonlinearity h. The results, which are established using a ''forbidden value'' argument, are new even in the case of linear h.
Funder
Publisher
American Mathematical Society (AMS)
Publisher DOI
Rights
Collections
Externally hosted open access publications with University of Galway authors (1)