Existence and asymptotic expansion of the weak solution for a wave equation with nonlinear source containing nonlocal term

Existence and asymptotic expansion of the weak solution for a wave equation with nonlinear source containing nonlocal term

Abstract In this paper, we consider the Robin problem for a wave equation with nonlinear source containing nonlocal term. Using the Faedo-Galerkin method and the linearization method for nonlinear term, the existence and uniqueness of a weak solution are proved. An asymptotic expansion of high order...

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Bibliographic Details
Main Authors: Nguyen Huu Nhan, Le Thi Phuong Ngoc, Nguyen Thanh Long
Format: Article
Language:English
Published: SpringerOpen 2017-06-01
Series:Boundary Value Problems
Subjects:
Faedo-Galerkin method
linear recurrent sequence
Robin conditions
asymptotic expansion in a small parameter
Online Access:http://link.springer.com/article/10.1186/s13661-017-0818-5

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