JournalsprimsVol. 23, No. 6pp. 923–936

Continuous Dependence on the Initial Condition of the Solution of a System of Differential Equations with Variable Structure and with Impulses

  • A. B. Dishliev

    Technical University of Sofia, Bulgaria
  • D. D. Bainov

    University of Plovdiv, Bulgaria
Continuous Dependence on the Initial Condition of the Solution of a System of Differential Equations with Variable Structure and with Impulses cover
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Abstract

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. 923–936

DOI 10.2977/PRIMS/1195175864