Le Thanh - Nguyen Tat Thanh University, ۳۰۰A Nguyen Tat Thanh Str., Dist. ۴, Ho Chi Minh City, Vietnam
Nguyen Nhan - Ho Chi Minh University of Foreign Languages and Information Technology, ۸۲۸ Su Van Hanh Str., Ward ۱۳, Dist. ۱۰, Ho Chi Minh City, Vietnam
Le Ngoc - University of Khanh Hoa, ۰۱ Nguyen Chanh Str., Nha Trang City, Vietnam

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.

Wave Equation, Faedo-Galerkin method, Recurrent sequence, Asymptotic expansion, Nonlinear integral terms