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One multidimensional version of the Darboux first problem for one class of semilinear second order hyperbolic systems |
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| Authors: | S Kharibegashvili B Midodashvili |
| Institution: | 1. A. Razmadze Mathematical Institute, I. Javakhishvili Tbilisi State University, 2, University St., 0143, Tbilisi, Georgia 2. Department of Mathematics, Georgian Technical University, 77, M. Kostava Str., 0175, Tbilisi, Georgia 3. Faculty of Exact and Natural Sciences, I. Javakhishvili Tbilisi State University, 2, University St., 0143, Tbilisi, Georgia 4. Faculty of Education, Exact and Natural Sciences, Gori Teaching University, 53, Chavchavadze Str., Gori, Georgia |
| Abstract: | One multidimensional version of the Darboux first problem for one class of semilinear second order hyperbolic systems is investigated. The questions on local and global solvability and nonexistence of a global solution of this problem are considered. |
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