In the paper an initial value problem is considered for a system of ordinary differential equations with variable structure and impulses. Sufficient conditions are found under which there exists a solution of such system for _t_≥τ0 where τ0 is a real constant. Sufficient conditions are presented for continuous dependence of the solution of the initial condition.
Cite this article
A. B. Dishliev, D. D. Bainov, Continuous Dependence on the Initial Condition of the Solution of a System of Differential Equations with Variable Structure and with Impulses. Publ. Res. Inst. Math. Sci. 23 (1987), no. 6, pp. 923–936DOI 10.2977/PRIMS/1195175864