Author(s)

Yuting Sun^*, Yunlong Gao, Guoguang Lin

Mathematical of Yunnan University, Kunming, China.

We investigate the global well-posedness and the global attractors of the solutions for the Higher-order Kirchhoff-type wave equation with nonlinear strongly damping: . For strong nonlinear damping σ and ?, we make assumptions (H₁) - (H₄). Under of the proper assume, the main results are existence and uniqueness of the solution in proved by Galerkin method, and deal with the global attractors.

Strongly Nonlinear Damped, Higher-Order Kirchhoff Equation, The Existence and Uniqueness, The Global Attractors

Sun, Y. , Gao, Y. and Lin, G. (2016) The Global Attractors for the Higher-Order Kirchhoff-Type Equation with Nonlinear Strongly Damped Term. International Journal of Modern Nonlinear Theory and Application, 5, 203-217. doi: 10.4236/ijmnta.2016.54019.