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

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