On a (ω, c)−periodic solution for an impulsive system of differential equations with product of two nonlinear functions and mixed maxima

Summary: In this article the questions of existence and uniqueness of (ω, c)−periodic solution of boundary value problem for an impulsive system of ordinary differential equations with product of two nonlinear functions and mixed maxima are studied. This problem is reduced to the investigation of solvability of the system of nonlinear functionalintegral equations. The method of contracted mapping is used in the proof of unique solvability of nonlinear functional-integral equations in the space BD([0, ω],Rn). Obtained an estimate for the (ω, c)−periodic solution of the studying problem.