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On a Nonlinear Wave Equation of Kirchhoff-Carrier Type: Linear Approximation and Asymptotic Expansion of Solution in a Small Parameter
Joint Authors
Long, Nguyen Thanh
Nhan, Nguyen Huu
Ngoc, Le Thi Phuong
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-01-22
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
We consider the Robin-Dirichlet problem for a nonlinear wave equation of Kirchhoff-Carrier type.
Using the Faedo-Galerkin method and the linearization method for nonlinear terms, the existence and uniqueness of a weak solution are proved.
An asymptotic expansion of high order in a small parameter of a weak solution is also discussed.
American Psychological Association (APA)
Nhan, Nguyen Huu& Ngoc, Le Thi Phuong& Long, Nguyen Thanh. 2018. On a Nonlinear Wave Equation of Kirchhoff-Carrier Type: Linear Approximation and Asymptotic Expansion of Solution in a Small Parameter. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-18.
https://search.emarefa.net/detail/BIM-1206939
Modern Language Association (MLA)
Nhan, Nguyen Huu…[et al.]. On a Nonlinear Wave Equation of Kirchhoff-Carrier Type: Linear Approximation and Asymptotic Expansion of Solution in a Small Parameter. Mathematical Problems in Engineering No. 2018 (2018), pp.1-18.
https://search.emarefa.net/detail/BIM-1206939
American Medical Association (AMA)
Nhan, Nguyen Huu& Ngoc, Le Thi Phuong& Long, Nguyen Thanh. On a Nonlinear Wave Equation of Kirchhoff-Carrier Type: Linear Approximation and Asymptotic Expansion of Solution in a Small Parameter. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-18.
https://search.emarefa.net/detail/BIM-1206939
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1206939