Document Type : Research Paper

Authors

• Le Thi Mai Thanh ¹
• Nguyen Huu Nhan ²
• Le Thi Phuong Ngoc ³

¹ Nguyen Tat Thanh University, 300A Nguyen Tat Thanh Str., Dist. 4, Ho Chi Minh City, Vietnam

² Ho Chi Minh University of Foreign Languages and Information Technology, 828 Su Van Hanh Str., Ward 13, Dist. 10, Ho Chi Minh City, Vietnam

³ University of Khanh Hoa, 01 Nguyen Chanh Str., Nha Trang City, Vietnam

Abstract

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.

Keywords

• Wave equation
• Faedo-Galerkin method
• Recurrent sequence
• Asymptotic expansion
• Nonlinear integral terms