caa a22 4500 605525315 CHVBK 20210128105159.0 cr unu---uuuuu 210128e20150701xx s 000 0 eng 10.1007/s10958-015-2448-8 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2448-8 A Problem with Integral Conditions with Respect to Time for a System of Equations of the Dynamic Elasticity Theory [Elektronische Daten] [A. Kuz', B. Ptashnyk] In a domain specified in the form of a Cartesian product of a segment [0,T] and the space ℝ3 , we study a problem with integral conditions with respect to time for a system of equations of the dynamic elasticity theory in the class of functions almost periodic in the space variables. A criterion for the unique solvability of the problem and sufficient conditions for the existence of its solution are established. To solve the problem of small denominators arising in the solution of the problem, we use the metric approach. Springer Science+Business Media New York, 2015 Kuz' A. Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine aut Ptashnyk B. Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine aut Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 208/3(2015-07-01), 310-326 1072-3374 208:3<310 2015 208 10958 https://doi.org/10.1007/s10958-015-2448-8 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/s10958-015-2448-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kuz' A. Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine aut NATIONALLICENCE 700 1- Ptashnyk B. Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 208/3(2015-07-01), 310-326 1072-3374 208:3<310 2015 208 10958 SWISSBIB 510215254