caa a22 4500 477073662 CHVBK 20180405111433.0 cr unu---uuuuu 170330e19961101xx s 000 0 eng 10.1007/BF02259983 doi (NATIONALLICENCE)springer-10.1007/BF02259983 Jokhadze O. A. Razmadze Mathematical Institute, Georgian Academy of Siences, 1, M. Alexidze St., 380093, Tbilisi, Republic of Georgia aut Spatial problem of Darboux type for one model equation of third order [Elektronische Daten] [O. Jokhadze] For a hyperbolic type model equation of third order a Darboux type problem is investigated in a dihedral angle. It is shown that there exists a real number ρ0 such that for α > ρ0 the problem under consideration is uniquelly solvable in the Frechet space. In the case where the coefficients are constants, Bochner's method is developed in multidimensional domains, and used to prove the uniquely solvability of the problem both in Frechet and in Banach spaces. Plenum Publishing Corporation, 1996 Hyperbolic equation nationallicence Darboux type problem for the hyperbolic equation in the dihedral angle nationallicence characteristic plane nationallicence bicharacteristic line nationallicence Georgian Mathematical Journal Kluwer Academic Publishers-Plenum Publishers 3/6(1996-11-01), 547-564 1072-947X 3:6<547 1996 3 11290 https://doi.org/10.1007/BF02259983 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02259983 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Jokhadze O. A. Razmadze Mathematical Institute, Georgian Academy of Siences, 1, M. Alexidze St., 380093, Tbilisi, Republic of Georgia aut NATIONALLICENCE 773 0- Georgian Mathematical Journal Kluwer Academic Publishers-Plenum Publishers 3/6(1996-11-01), 547-564 1072-947X 3:6<547 1996 3 11290 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 378229796 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer