Boundary-value problems for fourth-order equations of hyperbolic and composite types

被引：0

作者：

Korzyuk V.I. ^{[1
]}

Konopel’ko O.A. ^{[1
]}

Cheb E.S. ^{[1
]}

机构：

[1] Belarus State University, Minsk

来源：

Journal of Mathematical Sciences | 2010年 / 171卷 / 1期

关键词：

Strong Solution; Hyperbolic Equation; Mixed Problem; Energy Inequality; Variable Step;

D O I：

10.1007/s10958-010-0128-2

中图分类号：

学科分类号：

摘要：

Boundary-value problems for fourth-order linear partial differential equations of hyperbolic and composite types are studied. The method of energy inequalities and averaging operators with variable step is used to prove existence and uniqueness theorems for strong solutions. The Riesz theorem on the representation of linear continuous functionals in Hilbert spaces is used to prove the existence and uniqueness theorems for generalized solutions. © 2010 Springer Science+Business Media, Inc.

引用

页码：89 / 115

页数：26

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