The global stability conditions for solutions of nonstationary differential equations with instant impulsive effects in pseudolinear form—Aleksandr I. Dvirny and Vitalii I. Slyn'ko

摘要

We obtained the sufficient conditions for the stability of solutions of a class of nonlinear differential equations with fixed instant impulsive effects in the Banach space. With the use of the Slyusarchuk's condition and methods of the theory of operators in a partially ordered Banach space, the problem is reduced to the study of the stability of a linear system of second-order impulsive differential equations.