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Ngoc, Le Thi Phuong,Quynh, Doan Thi Nhu,Triet, Nguyen Anh,Long, Nguyen Thanh Department of Mathematics 2019 Kyungpook mathematical journal Vol.59 No.4
In this paper, we consider the Robin-Dirichlet problem for a nonlinear wave equation of Kirchhoff-Carrier type with a viscoelastic term. Using the Faedo-Galerkin method and the linearization method for nonlinear terms, 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.