%0 Journal Article
%T The Inertial Manifolds for a Class of Higher-Order Coupled Kirchhoff-Type Equations
%A Guoguang Lin
%A Sanmei Yang
%J Journal of Applied Mathematics and Physics
%P 1055-1064
%@ 2327-4379
%D 2018
%I Scientific Research Publishing
%R 10.4236/jamp.2018.65091
%X 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 &lt;i&gt;</span><span style=\"font-family:Verdana;\">M&lt;/i&gt;(s) </span><span style=\"font-family:Verdana;\">and g&lt;sub&gt;i&lt;/sub&gt;(u,v), i=1, 2</span><span style=\"font-family:Verdana;\">.</span>
%K Higher-Order Coupled Kirchhoff-Type Equations
%K Inertial Manifold
%K Hadamard¡¯s Graph
%K Spectral Gap Condition
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=84910