A Mixed Problem with Integral Condition for the Hyperbolic Equation

被引：0
|
作者：
L. S. Pul'kina
机构：
[1] Samara State University,
来源：
Mathematical Notes | 2003年 / 74卷
关键词：
hyperbolic equation; Cauchy problem; Neumann boundary condition; nonlocal integral condition; Galerkin method;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study a mixed problem for the hyperbolic equation with a boundary Neumann condition and a nonlocal integral condition. We justify the assertion that there exists a unique generalized solution of the problem under consideration. The proof of uniqueness is based on an estimate, derived a priori, in the function space introduced in the paper, while the existence of a generalized solution is proved by the Galerkin method.
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页码：411 / 421
页数：10
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