Existence of positive solutions for
singular ordinary differential equations
with nonlinear boundary conditions
Authors:
L. E. Bobisud and Donal O'Regan
Journal:
Proc. Amer. Math. Soc. 124 (1996), 2081-2087
MSC (1991):
Primary 34B15
DOI:
https://doi.org/10.1090/S0002-9939-96-03615-5
MathSciNet review:
1353379
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Abstract | References | Similar Articles | Additional Information
Abstract: We prove the existence of nonnegative solutions of the problem ,
,
for a physically motivated class of nonlinearity
. The results, which are established using a ``forbidden value'' argument, are new even in the case of linear
.
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- 2. L. H. Erbe and Haiyan Wang, On the existence of positive solutions of ordinary differential equations, Proc. Amer. Math. Soc. 120 (1994), no. 3, 743–748. MR 1204373, https://doi.org/10.1090/S0002-9939-1994-1204373-9
- 3. A. Granas, R. B. Guenther, and J. W. Lee, Some general existence principles in the Carathéodory theory of nonlinear differential systems, J. Math. Pures Appl. (9) 70 (1991), no. 2, 153–196. MR 1103033
- 4. Donal O’Regan, Theory of singular boundary value problems, World Scientific Publishing Co., Inc., River Edge, NJ, 1994. MR 1286741
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Additional Information
L. E. Bobisud
Affiliation:
Department of Mathematics and Statistics, University of Idaho, Moscow, Idaho 83844–1103
Email:
bobisud@uidaho.edu
Donal O'Regan
Affiliation:
Department of Mathematics, University College Galway, Galway, Ireland
Email:
donal.oregan@ucg.ie
DOI:
https://doi.org/10.1090/S0002-9939-96-03615-5
Keywords:
Boundary value problems,
nonlinear boundary conditions,
nonlinear alternative
Received by editor(s):
January 15, 1995
Communicated by:
Hal L. Smith
Article copyright:
© Copyright 1996
American Mathematical Society