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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Multiple symmetric positive solutions
for a second order boundary value problem


Authors: Johnny Henderson and H. B. Thompson
Journal: Proc. Amer. Math. Soc. 128 (2000), 2373-2379
MSC (2000): Primary 34B15
Published electronically: February 23, 2000
MathSciNet review: 1709753
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Abstract | References | Similar Articles | Additional Information

Abstract: For the second order boundary value problem, $y''+f(y)=0$, $0\leq t\leq 1$, $y(0)=0=y(1)$, where $f:\, \mathbb{R}\rightarrow [0,\,\infty),$ growth conditions are imposed on $f$ which yield the existence of at least three symmetric positive solutions.


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Additional Information

Johnny Henderson
Affiliation: Department of Mathematics, Auburn University, Auburn, Alabama 36849-5310
Email: hendej2@mail.auburn.edu

H. B. Thompson
Affiliation: Centre for Applied Dynamical Systems, Mathematical Analysis and Probability, Department of Mathematics, The University of Queensland, Brisbane, Queensland 4072 Australia
Email: hbt@maths.uq.edu.au

DOI: http://dx.doi.org/10.1090/S0002-9939-00-05644-6
PII: S 0002-9939(00)05644-6
Keywords: Boundary value problem, Green's function, multiple solutions
Received by editor(s): September 19, 1998
Published electronically: February 23, 2000
Communicated by: Hal L. Smith
Article copyright: © Copyright 2000 American Mathematical Society