Positive Solutions for Singular Systems of Three-Point Boundary Value Problems

摘要

This paper investigates the following singular systems of nonlinear second-order three-point boundary value problems {-u" = f(t,v), r∈ (0,1) -v' = g(t,u), t∈ (0,1) u'(0) = v'(0) = 0, w(1) = au'(η), v(1) = av'(η) Where η ∈ (0,1), α < 0, Under some weaker conditions, the existence of positive solutions is obtained by applying the fixed point theorem of cone expansion and compression.