Weakly nonlinear discrete multipoint boundary value problems

In this paper we study nonlinear, discrete, multipoint boundary value problems of the form x(t +1) = A(t)x(t) + f t,x(t) subject to B0x(0)+ B1x(1)+···+BNx(N) = 0. We provide sufficient conditions for the existence of solutions and we present a qualitative analysis of the way the solutions depend on the parameter . © 2006 Elsevier Inc. All rights reserved