caa a22 4500 605522057 CHVBK 20210128100743.0 cr unu---uuuuu 210128e20150301xx s 000 0 eng 10.1007/s10958-015-2263-2 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2263-2 Dirichlet-Neumann Problem in a Strip for Hyperbolic Equations with Constant Coefficients [Elektronische Daten] [B. Ptashnyk, S. Repetylo] We study the conditions of unique solvability of the problem with Dirichlet-Neumann conditions with respect to the time variable in a strip and the conditions of periodicity or almost periodicity with respect to a spatial coordinate for linear hyperbolic equations of higher order with constant coefficients. The solutions of the considered problems in the form of series in systems of orthogonal functions are constructed. To obtain the lower bound for small denominators appearing in the construction of solutions of the problems, we use the metric approach. Springer Science+Business Media New York, 2015 Ptashnyk B. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine aut Repetylo S. National University "L'vivs'ka Politekhnika”, Lviv, Ukraine aut Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 205/4(2015-03-01), 501-517 1072-3374 205:4<501 2015 205 10958 https://doi.org/10.1007/s10958-015-2263-2 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2263-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Ptashnyk B. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine aut NATIONALLICENCE 700 1- Repetylo S. National University "L'vivs'ka Politekhnika”, Lviv, Ukraine aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 205/4(2015-03-01), 501-517 1072-3374 205:4<501 2015 205 10958