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.
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