2017
Том 69
№ 9

All Issues

A Boundary-Value Problem for Weakly Nonlinear Hyperbolic Equations with Data on the Entire Boundary of a Domain

Bilusyak N.I., Ptashnik B. I.

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Abstract

In a domain that is the Cartesian product of a segment and a p-dimensional torus, we investigate a boundary-value problem for weakly nonlinear hyperbolic equations of higher order. For almost all (with respect to Lebesgue measure) parameters of the domain, we establish conditions for the existence of a unique solution of the problem.

English version (Springer): Ukrainian Mathematical Journal 53 (2001), no. 2, pp 276-282.

Citation Example: Bilusyak N.I., Ptashnik B. I. A Boundary-Value Problem for Weakly Nonlinear Hyperbolic Equations with Data on the Entire Boundary of a Domain // Ukr. Mat. Zh. - 2001. - 53, № 2. - pp. 244-249.

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