Theoretical Mathematics & Applications

Existence of positive solutions to second-order periodic boundary value problems with impulse actions

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• Abstract

  In this paper we consider the existence of positive solutions for second-order periodic boundary value problems with impulse actions. By constructing a cone K₁ X K_{2 ,} which is the Cartesian product of two cones in the space C[0; 2π] and computing the fixed point index in the K₁ X K_{2 ,} we establish the existence of positive solutions for the system.