Boundary-value problem for weakly nonlinear hyperbolic equations with variable coefficients

被引：0

作者：

Bilusyak N.I. ^{[1
]}

Ptashnyk B.I. ^{[1
]}

机构：

[1] Institute of Applied Problems in Mechanics and Mathematics, Ukrainian Academy of Sciences, Lviv

来源：

Ukrainian Mathematical Journal | 2001年 / 53卷 / 9期

关键词：

Variable Coefficient; Hyperbolic Equation; Unique Solvability; Cylindric Domain; Entire Boundary;

D O I：

10.1023/A:1014327010910

中图分类号：

学科分类号：

摘要：

We establish conditions for the unique solvability of a boundary-value problem for a weakly nonlinear hyperbolic equation of order 2n, n>(3p+1)/2, with coefficients dependent on the space coordinates and data given on the entire boundary of a cylindric domain D ⊂ ℝp+1. The investigation of this problem is connected with the problem of small denominators. © 2001 Plenum Publishing Corporation.

引用

页码：1546 / 1553

页数：7

共 50 条

[41] Boundary value problem for a class of nonlinear second order ordinary differential equations with variable coefficients
Tungatarov, A.
Baiyzhanova, M.
[J]. BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2014, 76 (04): : 86 - 92
[42] A boundary-value problem for hyperbolic equations (vol 62, pg 399, 1998)
Troitskaya, SD
[J]. IZVESTIYA MATHEMATICS, 1999, 63 (02) : 423 - 423
[43] FOURTH ORDER DIFFERENCE METHODS FOR INITIAL BOUNDARY-VALUE PROBLEM FOR HYPERBOLIC EQUATIONS
OLIGER, J
[J]. MATHEMATICS OF COMPUTATION, 1974, 28 (125) : 15 - 25
[44] NONLINEAR INITIAL BOUNDARY-VALUE PROBLEM FOR QUASI-LINEAR HYPERBOLIC SYSTEM
LI, DN
[J]. CHINESE ANNALS OF MATHEMATICS SERIES B, 1986, 7 (02) : 147 - 159
[45] Mixed boundary-value problem for an orthotropic rectangular strip with variable coefficients of elasticity
Sargsyan, M. Z.
Poghosyan, H. M.
[J]. 5TH INTERNATIONAL CONFERENCE ON TOPICAL PROBLEMS OF CONTINUUM MECHANICS WITH A SPECIAL SESSION IN HONOR OF ALEXANDER MANZHIROV'S 60TH BIRTHDAY, 2018, 991
[46] NONLINEAR ELLIPTIC BOUNDARY-VALUE PROBLEMS FOR EQUATIONS WITH RAPIDLY (OR SLOWLY) INCREASING COEFFICIENTS
GOSSEZ, JP
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 190 (463) : 163 - 205
[47] NONLINEAR ELLIPTIC BOUNDARY-VALUE PROBLEM
CAC, NP
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 50 (JUL) : 230 - 236
[48] NONLINEAR ELLIPTIC BOUNDARY-VALUE PROBLEM
SCHECHTE.M
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (01): : A16 - A16
[49] NONLINEAR ELLIPTIC BOUNDARY-VALUE PROBLEM
WILLIAMS, SA
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1973, 44 (02) : 767 - 774
[50] Multipoint Singular Boundary-Value Problem for Systems of Nonlinear Differential Equations
Bastinec, Jaromir
Diblik, Josef
Smarda, Zdenek
[J]. BOUNDARY VALUE PROBLEMS, 2009,

← 1 2 3 4 5 →