Existence of solutions for three-point boundary value problems for second order equations

Authors:
Johnny Henderson, Basant Karna and Christopher C. Tisdell

Journal:
Proc. Amer. Math. Soc. **133** (2005), 1365-1369

MSC (2000):
Primary 34B15; Secondary 34B10

Published electronically:
October 18, 2004

MathSciNet review:
2111960

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Shooting methods are employed to obtain solutions of the three-point boundary value problem for the second order equation, where is continuous, and and conditions are imposed implying that solutions of such problems are unique, when they exist.

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Additional Information

**Johnny Henderson**

Affiliation:
Department of Mathematics, Baylor University, Waco, Texas 76798-7328

Email:
Johnny_Henderson@baylor.edu

**Basant Karna**

Affiliation:
Department of Mathematics, Baylor University, Waco, Texas 76798-7328

Address at time of publication:
Department of Mathematics, Marshall University, Huntington, West Virginia 25755-2560

Email:
Basant_Karna@baylor.edu, karna@marshall.edu

**Christopher C. Tisdell**

Affiliation:
School of Mathematics, The University of New South Wales, Sydney 2052, Australia

Email:
cct@maths.unsw.edu.au

DOI:
http://dx.doi.org/10.1090/S0002-9939-04-07647-6

Keywords:
Boundary value problem,
three-point,
shooting method

Received by editor(s):
October 30, 2003

Received by editor(s) in revised form:
December 30, 2003

Published electronically:
October 18, 2004

Communicated by:
Carmen C. Chicone

Article copyright:
© Copyright 2004
American Mathematical Society