Original Article
Kyungpook Mathematical Journal 2007; 47(4): 569-578
Published online December 23, 2007
Copyright © Kyungpook Mathematical Journal.
Prior Estimates and Solutions of Boundary Value Problems for Higher-Order Nonlinear Finite Difference Equations
Yuji Liu
Department of Mathematics, Guangdong University of Business Studies, Guangzhou 510000, P.R.China
Sufficient conditions for the existence of at least one solution of boundary value problems for higher order nonlinear difference equations are established. We allow $f$ to be at most linear, superlinear or sublinear in obtained results.
Keywords: Solutions, higher order difference equation, boundary value problems, fixed-point theorem, growth condition