PROPAGATION OF NONSMOOTH WAVES UNDER SINGULAR PERTURBATIONS OF THE WAVE EQUATION

Kanguzhin B.E.
2022 L.N. Gumilyov Eurasian National University

Eurasian Mathematical Journal
2022 #13 Issue 3 41 - 50 pp.

The method of characteristics for the wave equation can be applied not only for unbounded strings. The method of incident and reflected waves is effectively used in the case of a mixed problem for a bounded string. This method can also be modified for multipoint mixed problems for the wave equation. In this paper, the method of incident and reflected waves is adapted for multi-point problems with discontinuous derivatives. An analogue of the dAlembert formula for discontinuous multipoint problems for the wave equation in the case of a bounded string is proved

Delta-shaped perturbations , Evolution equation , Singular perturbations , Wave equation

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