Advances in Difference Equations
Volume 2006 (2006), Article ID 89585, 7 pages
Multiple nonnegative solutions for BVPs of fourth-order difference equations
Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, China
Received 31 March 2006; Revised 5 September 2006; Accepted 18 September 2006
Copyright © 2006 Jian-Ping Sun. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
First, existence criteria for at least three nonnegative solutions to the
following boundary value problem of fourth-order difference equation
are established by using the well-known Leggett-Williams fixed point
theorem, and then, for arbitrary positive integer existence results for
at least nonnegative solutions are obtained.