TITLE:
A Family of the Inertial Manifolds for a Class of Generalized Kirchhoff-Type Coupled Equations
AUTHORS:
Guoguang Lin, Jiaying Zhou
KEYWORDS:
Kirchhoff-Type Coupled Equations, Spectral Interval Condition, A Family of the Inertial Manifolds
JOURNAL NAME:
Open Journal of Applied Sciences,
Vol.12 No.7,
July
7,
2022
ABSTRACT: The paper considers the
long-time behavior for a class of generalized high-order Kirchhoff-type coupled equations, under the
corresponding hypothetical conditions, according to the Hadamard graph
transformation method, obtain the equivalent norm in space , and we obtain the existence of a family of the inertial manifolds while
such equations satisfy the spectral interval condition.