Fourth Mississippi State Conference on
Differential Equations and Computational Simulations,
Electron. J. Diff. Eqns., Conf. 03, 1999, pp. 6373.
Uniqueness implies existence for discrete fourth order Lidstone
boundaryvalue problems
Johnny Henderson & Alvina M. Johnson
Abstract:
We study the fourth order difference equation
where
is continuous and the equation
can be
solved for
as a continuous function of
for each
.
It is shown that the uniqueness of solutions implies
the existence of solutions for Lidstone boundaryvalue problems on
.
To this end we use shooting and topological methods.
Published July 10, 2000.
Math Subject Classifications: 39A10, 34B10, 34B15.
Key Words: Difference equation, uniqueness, existence.
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Johnny Henderson
Department of Mathematics,
Auburn University
Auburn, AL 36849, USA
email: hendej2@mail.auburn.edu 
 Alvina M. Johnson
Department of Mathematics,
Auburn University
Auburn, AL 36849, USA
email: johnso25@mail.fvsu.edu 
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