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

oleh: Nguyen Huu Nhan, Le Thi Phuong Ngoc, Nguyen Thanh Long

Format: Article
Diterbitkan: SpringerOpen 2017-06-01

Deskripsi

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 in a small parameter of a weak solution is also discussed.