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Influence of Lower Terms on the Well-Posedness of Characteristics Problems for Third-Order Hyperbolic Equations |
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| Authors: | Dzhokhadze O M |
| Institution: | (1) A. M. Razmadze Mathematics Institute, Academy of Sciences of Georgia, Georgia |
| Abstract: | In this paper, we consider a general problem of Goursat type for third-order hyperbolic equations of general form with dominated lower terms. We study the influence of the lower terms contained in the equation, as well as those in the boundary conditions, on the well-posedness of the problem under consideration. |
| Keywords: | well-posedness of characteristics problems third-order hyperbolic equation hyperbolic equation with dominated lower terms Goursat-type characteristics problem integro-differential equation |
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