UDC 517.9 We show how an appropriate parametrization technique and special successive approximations can help to control  unknown jumps in the case of nonlinear boundary-value problems with state-dependent impulses.  The practical application of the technique is shown on a numerical example.

We show the use of parametrization techniques and successive approximations for the effective construction of solutions of linear boundary value problems for differential systems with multiple argument deviations. The approach is illustrated with a numerical example.