Boundary-value problems for hyperbolic equations with constant coefficients
By using a metric approach, we study the problem of well-posedness of boundary-value problems for hyperbolic equations of ordern $(n ≥ 2)$ with constant coefficients in a cylindrical domain. Conditions of existence and uniqueness of solutions are formulated in number-theoretic terms. We prove a metric theorem on lower estimates of small denominators that appear when constructing solutions.
English version (Springer): Ukrainian Mathematical Journal 46 (1994), no. 7, pp 869-877.
Citation Example: Bobyk I. O., Ptashnik B. I. Boundary-value problems for hyperbolic equations with constant coefficients // Ukr. Mat. Zh. - 1994. - 46, № 7. - pp. 795–802.