On the Dirichlet problem in a characteristic rectangle for higher order linear hyperbolic equations

被引：14

作者：

Kiguradze, T

Lakshmikantham, V

机构：

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

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

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2002年 / 50卷 / 08期

关键词：

Dirichlet type problem; higher order linear hyperbolic equation; characteristic rectangle;

D O I：

10.1016/S0362-546X(01)00806-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A discussion of the Dirichlet problem in a characteristic rectangle for higher order linear hyperbolic equations was presented. Dirichlet problem was studied for a wide class of higher order hyperbolic equations with nonconstant coefficients. It was observed that several notations and definitions were introduced for formulating the main results.

引用

页码：1153 / 1178

页数：26

共 22 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 D. G., 1940, DUKE MATH J, V7, P97

[4]

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

[5] ON A DIRICHLET PROBLEM FOR A 2ND-ORDER HYPERBOLIC EQUATION [J].

FIRMANI, B .

ANNALI DI MATEMATICA PURA ED APPLICATA, 1983, 135 :133-150

[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 3 →