Influence of Lower Terms on the Well-Posedness of Characteristics Problems for Third-Order Hyperbolic Equations

被引：0
|
作者：
O. M. Dzhokhadze
机构：
[1] Academy of Sciences of Georgia,A. M. Razmadze Mathematics Institute
来源：
Mathematical Notes | 2003年 / 74卷
关键词：
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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摘要：
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.
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页码：491 / 501
页数：10
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