2017
Том 69
№ 7

All Issues

Darboux–Protter Spectral Problems for One Class of Multidimensional Hyperbolic Equations

Aldashev S. A.

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Abstract

For a multidimensional hyperbolic equation with a wave operator in the principal part, we show that the Darboux–Protter spectral problem has the countable set of eigenfunctions, and its dual problem is the Volterra problem.

English version (Springer): Ukrainian Mathematical Journal 55 (2003), no. 1, pp 126-135.

Citation Example: Aldashev S. A. Darboux–Protter Spectral Problems for One Class of Multidimensional Hyperbolic Equations // Ukr. Mat. Zh. - 2003. - 55, № 1. - pp. 100-107.

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