In this paper, we consider an initial-boundary problem for a wave equation containing nonlinear integral terms. By the linear approximate method associated with the Faedo-Galerkin method, the existence and uniqueness of solutions for the proposed problem are proved. Moreover, a high-order asymptotic expansion in a small parameter of the weak solution is also discussed.
Thanh,L Thi Mai, Nhan,N Huu and Ngoc,L Thi Phuong. (2023). On a wave equation containing nonlinear integral terms: Existence and asymptotic expansion of solutions. International Journal of Nonlinear Analysis and Applications, 14(1), 409-435. doi: 10.22075/ijnaa.2022.25719.3106
MLA
Thanh,L Thi Mai, , Nhan,N Huu, and Ngoc,L Thi Phuong. "On a wave equation containing nonlinear integral terms: Existence and asymptotic expansion of solutions", International Journal of Nonlinear Analysis and Applications, 14, 1, 2023, 409-435. doi: 10.22075/ijnaa.2022.25719.3106
HARVARD
Thanh L Thi Mai, Nhan N Huu, Ngoc L Thi Phuong. (2023). 'On a wave equation containing nonlinear integral terms: Existence and asymptotic expansion of solutions', International Journal of Nonlinear Analysis and Applications, 14(1), pp. 409-435. doi: 10.22075/ijnaa.2022.25719.3106
CHICAGO
L Thi Mai Thanh, N Huu Nhan and L Thi Phuong Ngoc, "On a wave equation containing nonlinear integral terms: Existence and asymptotic expansion of solutions," International Journal of Nonlinear Analysis and Applications, 14 1 (2023): 409-435, doi: 10.22075/ijnaa.2022.25719.3106
VANCOUVER
Thanh L Thi Mai, Nhan N Huu, Ngoc L Thi Phuong. On a wave equation containing nonlinear integral terms: Existence and asymptotic expansion of solutions. IJNAA. 2023;14(1):409-435. doi: 10.22075/ijnaa.2022.25719.3106
International Journal of Nonlinear Analysis and Applications