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In this paper we consider the existence of positive solutions for singular second-order boundary value problems with impulse actions. By con- structing a cone K1 × K2, which is the Cartesian product of two cones in the space C(0,1) and computing the fixed point index in the K1 × K2, we establish the existence of positive solutions for the system.

EXISTENCE OF POSITIVE SOLUTIONS FOR SINGULAR SECOND-ORDER BOUNDARY VALUE PROBLEMS WITH IMPULSE ACTIONS