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

[31] A BOUNDARY-VALUE PROBLEM FOR HYPERBOLIC SYSTEMS OF DIFFERENTIAL-FUNCTIONAL EQUATIONS
TURO, J
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1989, 13 (01) : 7 - 18
[32] HYBRID DIFFERENCE METHODS FOR INITIAL BOUNDARY-VALUE PROBLEM FOR HYPERBOLIC EQUATIONS
OLIGER, J
[J]. MATHEMATICS OF COMPUTATION, 1976, 30 (136) : 724 - 738
[33] Weakly Nonlinear Matrix Boundary-Value Problem in the Case of Parametric Resonance
Chuiko S.M.
Chuiko A.S.
Sysoev D.V.
[J]. Journal of Mathematical Sciences, 2017, 223 (3) : 337 - 350
[34] APPROXIMATE BOUNDED SYNTHESIS FOR ONE WEAKLY NONLINEAR BOUNDARY-VALUE PROBLEM
Kapustyan, O. V.
Kapustyan, O. A.
Sukretna, A. V.
[J]. NONLINEAR OSCILLATIONS, 2009, 12 (03): : 297 - 304
[35] A boundary value problem for nonlinear hyperbolic equations with order degeneration
Semerdjieva, R
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 273 (02) : 637 - 653
[36] BOUNDARY-VALUE PROBLEM FOR NONLINEAR TELEGRAPH EQUATIONS WITH SUPERLINEAR GROWTH
KIM, WS
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1988, 12 (12) : 1371 - 1376
[37] BOUNDARY-VALUE PROBLEM FOR EVEN-ORDER DIFFERENTIAL-EQUATIONS WITH VARIABLE DOMAINS OF OPERATOR COEFFICIENTS
LOMOVTSEV, FE
[J]. DIFFERENTIAL EQUATIONS, 1994, 30 (08) : 1310 - 1322
[38] ON THE EXISTENCE AND PROPERTIES OF A SOLUTION OF A PARTICULAR BOUNDARY-VALUE PROBLEM FOR HYPERBOLIC-EQUATIONS WITH PIECEWISE-CONTINUOUS COEFFICIENTS
PYSKO, IA
[J]. DOKLADY AKADEMII NAUK BELARUSI, 1980, 24 (04): : 297 - 300
[39] Regularization of boundary-value problems for hyperbolic equations
Dzhuraev, Kh Sh
[J]. MATHEMATICAL NOTES, 2013, 93 (1-2) : 244 - 249
[40] Regularization of boundary-value problems for hyperbolic equations
Kh. Sh. Dzhuraev
[J]. Mathematical Notes, 2013, 93 : 244 - 249

← 1 2 3 4 5 →