Abstract
This paper investigates the existence of positive solutions of singular Dirichlet boundary value problems for second order differential system. A necessary and sufficient condition for the existence of C [ 0 , 1 ] × C [ 0 , 1 ] positive solutions as well as C 1 [ 0 , 1 ] × C 1 [ 0 , 1 ] positive solutions is given by means of the method of lower and upper solutions and the fixed point theorems. Our nonlinearity f i ( t , x 1 , x 2 ) may be singular at x 1 = 0 , x 2 = 0 , t = 0 and/or t = 1 , i = 1 , 2 .
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