2017
Том 69
№ 9

All Issues

A multipoint problem with multiple nodes for linear hyperbolic equations

Beresnevich V. V., Bernik V. I., Ptashnik B. I., Vasylyshyn P. B.

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Abstract

We establish conditions for the unique solvability of a multipoint (with respect to the time coordinate) problem with multiple nodes for linear hyperbolic equations with constant coefficients in the class of functions periodic in the space variable. We prove metric statements concerning lower bounds of small denominators that appear in the course of construction of a solution of the problem.

English version (Springer): Ukrainian Mathematical Journal 51 (1999), no. 10, pp 1476-1483.

Citation Example: Beresnevich V. V., Bernik V. I., Ptashnik B. I., Vasylyshyn P. B. A multipoint problem with multiple nodes for linear hyperbolic equations // Ukr. Mat. Zh. - 1999. - 51, № 10. - pp. 1311–1316.

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