International Journal of Applied Science and Technology

ISSN 2221-0997 (Print), 2221-1004 (Online) 10.30845/ijast

CONTINUOUS DEPENDENCE OF THE SOLUTIONS OF THE DIFFERENTIAL EQUATIONS WITH VARIABLE STRUCTURE AND IMPULSES WITH RESPECT TO THE SWITCHING FUNCTIONS
R. B. Chukleva, A. B. Dishliev, K. G. Dishlieva


Abstract
The initial problem of systems of nonlinear ordinary differential equation with variable structure and impulses is considered in the paper. The changing (switching) in the right-hand side of the system and impulsive effects are realized at the moments, when the switching functions become zero. Sufficient conditions of continuous dependence of the solution on the initial condition and the switching functions are found.

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