Summary: J. Math. Anal. Appl. 331 (2007) 736741
Solvability of discrete Neumann boundary value
D.R. Anderson a
, I. Rach°unková b
, C.C. Tisdell c,
a Department of Mathematics and Computer Science, Concordia College, 901 8th Street, Moorhead, MN 56562, USA
b Department of Mathematics, Palacký University, 771 46 Olomouc, Czech Republic
c School of Mathematics and Statistics, The University of New South Wales, Sydney 2052, Australia
Received 25 July 2006
Available online 26 September 2006
Submitted by Steven G. Krantz
In this article we gain solvability to a nonlinear, second-order difference equation with discrete Neumann
boundary conditions. Our methods involve new inequalities on the right-hand side of the difference equation
and Schaefer's Theorem in the finite-dimensional space setting.
© 2006 Elsevier Inc. All rights reserved.
Keywords: Discrete Neumann boundary value problem; Existence of solutions; Schaefer's Theorem; Difference