Thu Dau Mot University Journal of Science


Search Papers

Choose the options

Select form Topic

AND

Select Year

And type your research interest


1 papers


In this paper, we consider the Dirichlet boundary problem for a nonlinear wave equation of Kirchhoff-Carrier-Love type as follow   utt − B ? ∥u(t)∥2 , ∥ux(t)∥2 (uxx + uxxtt) = f(x, t, u, ux, ut, uxt) + Xp i=1 εifi(x, t, u, ux, ut, uxt) for 0 < x < 1, 0 < t < T, u(0, t) = u(1, t) = 0, u(x, 0) = ˜u0(x), ut(x, 0) = ˜u1(x), (1) where ˜u0, ˜u1, B, f, fi (i = 1, · · · , p) are given functions, ε1, · · · , εp are small parameters and ∥u(t)∥2 = Z 1 0 u2 (x, t) dx, ∥ux(t)∥2 = Z 1 0 u2 x (x, t) dx. First, a declaration of the existence and uniqueness of solutions provided by the linearly approximate technique and the Faedo-Galerkin method is presented. Then, by using Taylor’s expansion for the functions B, f, fi, i = 1, · · · , p, up to (N + 1)th order, we establish a high-order asymptotic expansion of solutions in the small parameters ε1, · · · , εp.

Publication Information

Publisher

Thu Dau Mot University, Viet Nam

Honorary Editor-in-Chief and Chairman of the Editorial Board

Assoc. Prof. Nguyen Van Hiep

Deputy Editor-in-Chief

PhD. Trần Hạnh Minh Phương
Thu Dau Mot University

Editorial Board

Prof. Tran Van Doan
Fujen University, Taiwan
Prof. Zafar Uddin Ahmed
Vietnam National University Ho Chi Minh City

Prof.Dr. Phillip G.Cerny
The University of Manchester, United Kingdom
Prof. Ngo Van Le
University of Social Sciences and Humanities (VNU-HCM)

Prof. Bui The Cuong
Southern Institute of Social Sciences​​​​​​​
Prof. Le Quang Tri
Can Tho University

Assoc. Prof. Nguyen Van Duc
Animal Husbandry Association of Vietnam
Assoc. Prof. Ted Yuchung Liu
National Pingtung University, Taiwan

PhD. Anita Doraisami
Economics Monash University, Australia
Prof. Dr. Andrew Seddon
Asia Pacific University of Technology & innovation (APU)

Assoc. Prof. Le Tuan Anh
Thu Dau Mot University
Prof. Abtar Darshan Singh
Asia Pacific University, Malaysia

Prof.Dr. Ron W.Edwards
The University of Melbourne, Australia
Assoc. Prof. Hoang Xuan Nien
Thu Dau Mot University

PhD. Nguyen Duc Nghia
Vietnam National University Ho Chi Minh City
PhD. Bao Dat
Monash University (Australia)

PhD. Raqib Chowdhury
Monash University (Australia)
PhD. Nguyen Hoang Tuan
Thu Dau Mot University

PhD. Nguyen Thi Lien Thuong
Thu Dau Mot University

Assistant

Nguyen Thi Man
Thu Dau Mot University