This analysis reveals unique periodic solutions of nonlinear differential equations, highlighting the significance of mixed maxima and functional-integral approaches.
Existence and uniqueness of (ω, c)−periodic solution of boundary value problem for an impulsive system of ordinary differential equations with a nonlinear function under the sign of the second-order differential, product of two nonlinear functions and mixed maxima are investigated. This problem is reduced to the investigation of (ω, c)−periodic solvability of the system of nonlinear functional-integral 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).
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Yuldashev et al. (2025) studied this question.
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