Author(s)

Guoguang Lin, Lingjuan Hu

Department of Mathematics, Yunnan University, Yunnan, China.

This paper considers the long-time behavior for a system of coupled wave equations of higher-order Kirchhoff type with strong damping terms. Using the Hadamard graph transformation method, we obtain the existence of the inertial manifold while such equations satisfy the spectral interval condition.

Higher-Order Kirchhoff System, Hadamard Graph Transformation, Spectral Gap Condition, Inertial Manifold

Lin, G. and Hu, L. (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. doi: 10.4236/ijmnta.2018.72003.