Multiple symmetric positive solutions of a class of boundary value problems for higher order ordinary differential equations

Authors:
John R. Graef, Chuanxi Qian and Bo Yang

Journal:
Proc. Amer. Math. Soc. **131** (2003), 577-585

MSC (2000):
Primary 34B15

Published electronically:
June 18, 2002

MathSciNet review:
1933349

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Abstract | References | Similar Articles | Additional Information

Abstract: In this paper, the authors consider the boundary value problem

and give sufficient conditions for the existence of any number of symmetric positive solutions of (E)-(B). The relationships between the results in this paper and some recent work by Henderson and Thompson (Proc. Amer. Math. Soc. 128 (2000), 2373-2379) are discussed.

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Additional Information

**John R. Graef**

Affiliation:
Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, Tennessee 37403

Email:
john-graef@utc.edu

**Chuanxi Qian**

Affiliation:
Department of Mathematics and Statistics, Mississippi State University, Mississippi State, Mississippi 39762

Email:
qian@math.msstate.edu

**Bo Yang**

Affiliation:
Department of Mathematics and Statistics, Mississippi State University, Mississippi State, Mississippi 39762

Email:
by2@ra.msstate.edu

DOI:
https://doi.org/10.1090/S0002-9939-02-06579-6

Keywords:
Boundary value problems,
existence of positive solutions,
higher order equations,
multiple solutions,
nonlinear equations

Received by editor(s):
April 16, 2001

Received by editor(s) in revised form:
October 2, 2001

Published electronically:
June 18, 2002

Communicated by:
Carmen C. Chicone

Article copyright:
© Copyright 2002
American Mathematical Society