Multiple solutions to a boundary value problem for an n-th order nonlinear difference equation

We seek multiple solutions to the n-th order nonlinear difference equation $$Delta^n x(t)= (-1)^{n-k} f(t,x(t)),quad t in [0,T]$$ satisfying the boundary conditions $$x(0) = x(1) = cdots = x(k - 1) = x(T + k + 1) = cdots = x(T+ n) = 0,.$$ Guo's fixed point theorem is applied multiple times to a...

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Bibliographic Details
Main Author: Susan D. Lauer
Format: Article
Language:English
Published: Texas State University 1998-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/conf-proc/01/l1/abstr.html