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Wu, J.Z. and Lin, G.G. (2010) An Inertial Manifold of the Two-Dimensional Strongly Damped Boussinesq Equation. Journal of Yunnan University (Natural Science Edition), 32, 119-224.

has been cited by the following article:

• TITLE: The Inertial Manifolds for a Class of Higher-Order Coupled Kirchhoff-Type Equations

  AUTHORS: Guoguang Lin, Sanmei Yang

  KEYWORDS: Higher-Order Coupled Kirchhoff-Type Equations, Inertial Manifold, Hadamard’s Graph, Spectral Gap Condition

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.6 No.5, May 30, 2018

  ABSTRACT: In this paper, we mainly deal with a class of higher-order coupled Kirch-hoff-type equations. At first, we take advantage of Hadamard’s graph to get the equivalent form of the original equations. Then, the inertial manifolds are proved by using spectral gap condition. The main result we gained is that the inertial manifolds are established under the proper assumptions of M(s) and gi(u,v), i=1, 2.