Electron. J. Diff. Eqns., Vol. 2005(2005), No. 19, pp. 121.
Existence and uniqueness of solutions to a superlinear
threepoint boundaryvalue problem
Bruce Calvert, Chaitan P. Gupta
Abstract:
In previous papers, degree theory for nonlinear operators has
been used to study a class of threepoint boundaryvalue problems
for second order ordinary differential equations having a
superlinear term, and existence of a sequence of solutions has
been shown. In this paper, we forgo the previous approach for
the shooting method, which gives a drastically simpler existence
theory, with less assumptions, and easy calculation of solutions.
We even obtain uniqueness in the simplest case.
Submitted November 16, 2004. Published February 7, 2005.
Math Subject Classifications: 34B10, 34B15.
Key Words: Superlinear; threepoint boundaryvalue problem.
Show me the
PDF file (326K),
TEX file, and other files for this article.

Bruce Calvert
Department of Mathematics
University of Auckland
Auckland, New Zealand
email: calvert@math.auckland.ac.nz 

Chaitan P. Gupta
Department of Mathematics, 084
University of Nevada,
Reno, NV 89557, USA
email: gupta@unr.edu 
Return to the EJDE web page