Abstract
This paper investigates the existence of positive solutions for fourth order singular m-point boundary value problems. Firstly, we establish a comparison theorem, then we define a partial ordering in C 2 [ 0 , 1 ] ∩ C 4 ( 0 , 1 ) and construct lower and upper solutions to give a necessary and sufficient condition for the existence of C 2 [ 0 , 1 ] as well as C 3 [ 0 , 1 ] positive solutions. Our nonlinearity f ( t , x , y ) may be singular at x, y, t = 0 and/or t = 1 .
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