EXISTENCE THEORY FOR SINGLE AND MULTIPLE SOLUTIONS TO SINGULAR DISCRETE BOUNDARY VALUE PROBLEMS OF SECOND-ORDER DIFFERENTIAL SYSTEMS

摘要

In this paper we establish the existence of single and multiple solutions to the singular discrete boundary value problem Δ{sup}2x(i - 1) + q{sub}1(i)f{sub}1(i,x(i), y(i)) = 0, i ∈{1,2,...,T}, Δ{sup}2y(i - 1) +qsub}2(i)fsub}2(i,x(i),y(i)) = 0, x(0) = x(T + 1) = y(0) = y(T + 1) = 0, where nonlinear term fk(i, x, y) may be singular at (x, y) = (0, 0), k = 1,2.