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Global solvability of the Cauchy characteristic problem for one class of nonlinear second order hyperbolic systems
Authors:S. Kharibegashvili  B. Midodashvili
Affiliation:a A. Razmadze Mathematical Institute, 1, M. Aleksidze St., Tbilisi 0193, Georgia
b Georgian Technical University, Department of Mathematics, 77, M. Kostava St., Tbilisi 0175, Georgia
c I. Javakhishvili Tbilisi State University, 2, University St., Tbilisi 0143, Georgia
Abstract:
The Cauchy characteristic problem in the light cone of the future for one class of nonlinear hyperbolic systems of the second order is considered. The existence and uniqueness of global solution of this problem is proved.
Keywords:Cauchy characteristic problem   Nonlinear hyperbolic systems   Global solvability
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