Existence of global attractor of equations of Kirchhoff type

摘要

The paper focuses on existence of global attractors of equations of Kirchhoff type. Considering variational methods for appropriate equation space, and by integral inequality, Sobolev embedding theorem and equivalence theorem, this paper proves the existence of global attractors for the equation at the inner product space on the base of the global existence of solutions. Moreover, this paper deals with many different factors from dynamic systems, therefore has a wider range of applications, and reveals a more comprehensive problem of the solution.