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.