A Family of Inertial Manifolds for a Class of Asymmetrically Coupled Generalized Higher-Order Kirchhoff Equations ()
ABSTRACT
In this paper, we study the inertial manifolds for a
class of asymmetrically coupled generalized Higher-order Kirchhoff equations.
Under appropriate assumptions, we firstly exist Hadamard’s graph
transformation method to structure a graph norm of a Lipschitz continuous function, then we prove the existence of a family of
inertial manifolds by showing that the spectral gap
condition is true.
Share and Cite:
Lin, G. and Shao, M. (2022) A Family of Inertial Manifolds for a Class of Asymmetrically Coupled Generalized Higher-Order Kirchhoff Equations.
Open Journal of Applied Sciences,
12, 1174-1183. doi:
10.4236/ojapps.2022.127080.
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