The Global Attractors For The Higher-order Kirchhoff-type Equation With Nonlinear Strongly Damped Term

Abstract

The paper studies the longtime behavior of solutions to the initial boundary value problem for a class of Higher-order Kirchhoff models: For strong nonlinear damping and , we make assumptions (H1)-(H3). are nonlinear function specified later , we make assumptions (G1)-(G3). Under of the proper assume, the main results are existence and uniqueness of the solution are proved , and deal with the global attractors in natural energy space