Summary: Electronic Journal of Differential Equations, Vol. 2003(2003), No. ??, pp. 1??.
ISSN: 1072-6691. URL: http://ejde.math.swt.edu or http://ejde.math.unt.edu
ftp ejde.math.swt.edu (login: ftp)
EXISTENCE OF SOLUTIONS TO HIGHER-ORDER DISCRETE
DOUGLAS R. ANDERSON
Abstract. We are concerned with the higher-order discrete three-point bound-
ary value problem
x)(t) = f(t, x(t + )), t1 t t3 - 1, - 1
x)(t1) = 0, 0 i n - 4, n 4
x)(t) - (n-2
x)(t) = (t), t1 - - 1 t t1
x)(t2) = (n-1
x)(t3) = 0.
By placing certain restrictions on the nonlinearity and the distance between
boundary points, we prove the existence of at least one solution of the boundary