On a nonlinear Kirchhoff-Carrier wave equation associated with Robin conditions

被引：5

作者：

Nguyen Anh Triet ^{[3
]}

Le Thi Phuong Ngoc ^{[2
]}

Nguyen Thanh Long ^{[1
]}

机构：

[1] Vietnam Natl Univ Ho Chi Minh City, Univ Nat Sci, Dept Math & Comp Sci, Ho Chi Minh City, Vietnam

[2] Nhatrang Educ Coll, Nhatrang City, Vietnam

[3] Univ Architecture HoChiMinh City, Dept Math, Ho Chi Minh City, Vietnam

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2010年 / 11卷 / 05期

关键词：

Faedo-Galerkin method; Linear recurrent sequence; Asymptotic expansion in many small parameters; ASYMPTOTIC-EXPANSION; GLOBAL EXISTENCE; U-X; STABILITY; U-TT-B(T; F(X;

D O I：

10.1016/j.nonrwa.2009.11.028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to the study a nonlinear Kirchhoff-Carrier wave equation associated with Robin conditions. Existence and uniqueness of weak solutions are proved by using the Faedo-Galerkin method and the linearization method for nonlinear terms. An asymptotic expansion of high order in many small parameters of solutions is also discussed. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：3363 / 3388

页数：26

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