On the jump control problem for boundary-value problems with state-dependent impulses

A.  Rontó; M.  Rontó; N.  Rontоová

doi:10.37863/umzh.v75i1.7390

A. Rontó Masaryk Univ., Brno, Czech Republic https://orcid.org/0000-0002-4265-7786
M. Rontó Inst. Math., Univ. Miskolc, Hungary
N. Rontоová Brno Univ. Technology, Czech Republic https://orcid.org/0000-0003-2828-7878

DOI: https://doi.org/10.37863/umzh.v75i1.7390

Keywords: Non-linear system of differential equations, state-dependent jump, parameterization, successive approximations, jump control

Abstract

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.

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