On the Dirichlet problem for fourth-order linear hyperbolic equations

被引：13

作者：

Kiguradze, T

Lakshmikantham, V

机构：

[1] Tbilisi I Javakhishvili State Univ, Fac Phys, GE-380028 Tbilisi, Georgia

[2] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2002年 / 49卷 / 02期

关键词：

Dirichlet problem; fourth-order linear hyperbolic equation; bounded domain;

D O I：

10.1016/S0362-546X(01)00101-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Dirichlet problem in a bounded domain for the fourth-order linear hyperbolic equations was studied. The boundary of the domain was assumed to be a unification of finite number non-intersecting simple closed piecewise smooth curves. The boundary value problems were studied and a unique solution to the Dirichlet problem satisfying certain conditions was obtained.

引用

页码：197 / 219

页数：23

共 20 条

[1]

BENNAOUM AK, 1996, B BELG MATH SOC-SIM, V3, P345

[2] The mixed Dirichlet-Neumann-Cauchy problem for second order hyperbolic operators [J].

Bennish, J .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 209 (01) :243-254

[3]

Bourgin P.G., 1940, DUKE MATH J, P97

[4]

DUNNINGER DR, 1983, B UNIONE MAT ITAL, V2A, P253

[5]

FIRMANI B, 1983, ANN MAT PURA APP 135, V4, P133

[6]

FOX DW, 1958, ANN MAT PUR APPL, V46, P155

[7] On the dirichlet problem for the hyperbolic case [J].

Hadamard, J .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1942, 28 :258-263

[8]

Hadamard J., 1921, P BENARES MATH SOC, V3, P39

[9]

Hardy G.H., 1952, Inequalities

[10]

Hartman P, 1964, ORDINARY DIFFERENTIA

← 1 2 →