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The Inertial Manifolds for a Class of Higher-Order Coupled Kirchhoff-Type Equations

DOI: 10.4236/jamp.2018.65091, PP. 1055-1064

Keywords: Higher-Order Coupled Kirchhoff-Type Equations, Inertial Manifold, Hadamard’s Graph, Spectral Gap Condition

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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.

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