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Lin, G.G. and Hu, L.J. (2018) The Inertial Manifold for a Class of Nonlinear Higher-Order Coupled Kirchhoff Equations with Strong Linear Damping. International Journal of Modern Nonlinear Theory and Application, 7, 35-47.
https://doi.org/10.4236/ijmnta.2018.72003

has been cited by the following article:

• TITLE: A Family of the Inertial Manifolds for a Class of Generalized Kirchhoff-Type Coupled Equations

  AUTHORS: Guoguang Lin, Jiaying Zhou

  KEYWORDS: Kirchhoff-Type Coupled Equations, Spectral Interval Condition, A Family of the Inertial Manifolds

  JOURNAL NAME: Open Journal of Applied Sciences, Vol.12 No.7, July 7, 2022

  ABSTRACT: The paper considers the long-time behavior for a class of generalized high-order Kirchhoff-type coupled equations, under the corresponding hypothetical conditions, according to the Hadamard graph transformation method, obtain the equivalent norm in space , and we obtain the existence of a family of the inertial manifolds while such equations satisfy the spectral interval condition.