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Ai, C.F., Zhu, H.X. and Lin, G.G. (2016) Approximate Inertial Manifold for a Class of the Kirchhoff Wave Equations with Nonlinear Strongly Damped Terms. International Journal of Modern Nonlinear Theory and Application, 5, 218-234.

has been cited by the following article:

• TITLE: A Family of Inertial Manifolds of Coupled Kirchhoff Equations

  AUTHORS: Guoguang Lin, Fumei Chen

  KEYWORDS: Kirchhoff Equation, the Family of Inertial Manifolds, Hadamard Graph Transformation, Spectral Interval Condition

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.10 No.6, June 30, 2022

  ABSTRACT: In this paper, we study the long-time behavior of the solution of the initial boundary value problem of the coupled Kirchhoff equations. Based on the relevant assumptions, the equivalent norm on Ek is obtained by using the Hadamard graph transformation method, and the Lipschitz constant lF of F is further estimated. Finally, a family of inertial manifolds satisfying the spectral interval condition is obtained.