International Journal of Mathematics and Mathematical Sciences
Volume 14 (1991), Issue 4, Pages 747-756
doi:10.1155/S0161171291001011
Continuous dependence and differentiation of solutions of finite difference equations
Johnny Henderson
and Linda Lee
Department of Algebra, Combinatorics and Analysis, Auburn University, Auburn, Alabama 36849, USA
Abstract
Conditions are given for the continuity and differentiability of solutions of initial value problems and boundary value problems for the nth order finite difference equation, u(m+n)=f(m,u(m),u(m+1),…,u(m+n−1)),m∈ℤ.