A Robin–Dirichlet problem for a nonlinear wave equation with the source term containing a nonlinear integral

被引：0
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作者：
Nguyen Huu Nhan
Le Thi Phuong Ngoc
Tran Minh Thuyet
Nguyen Thanh Long
机构：
[1] Dong Nai University,Department of Mathematics
[2] University of Khanh Hoa,Department of Mathematics and Computer Science, University of Natural Science
[3] University of Economics of Ho Chi Minh City,undefined
[4] Vietnam National University – Ho Chi Minh City,undefined
来源：
Lithuanian Mathematical Journal | 2017年 / 57卷
关键词：
Faedo–Galerkinmethod; linear recurrent sequence; Robin–Dirichlet conditions; asymptotic expansion in many small parameters; 35L20; 35L70; 35Q72;
D O I：
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学科分类号：
摘要：
In this paper, we consider the Robin–Dirichlet problem for a nonlinear wave equation with the source term containing a nonlinear integral. Using the Faedo–Galerkin method and the linearization method for nonlinear terms, we prove the existence and uniqueness of a weak solution. We also discuss an asymptotic expansion of high order in a small parameter of a weak solution.
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页码：80 / 108
页数：28
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