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Fourth Mississippi State Conference on Differential Equations and Computational Simulations
May 21-22, 1999
Mississippi State University and Electronic Journal of Differential Equations
Starkville, MS, USA

Organizers
Ratnasingham Shivaji, Bharat Soni, Jianping Zhu (Program Chair)

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Uniqueness Implies Existence for Discrete Fourth Order Lidstone Boundary Value Problems
by
Alvina M. Johnson
Auburn University
Coauthors: Johnny Henderson

For the fourth order difference equation, u(m+4) = f(m, u(m), u(m+1), u(m+2), u(m+3)) where f : Z ×Re4 --> Re is continuous and the equation u5 = f(m, u1, u2, u3, u4) can be solved for u1 as a continuous function of u2, u3, u4, u5 for each m in Z, it is shown that the uniqueness of solutions implies the existence of solutions for Lidstone boundary value problems on Z. Shooting methods are used in conjunction with topological methods.

Date received: March 30, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cacr-33.