A Family of the Inertial Manifolds for a Class of Generalized Kirchhoff-Type Coupled Equations ()
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.
Share and Cite:
Lin, G. and Zhou, J. (2022) A Family of the Inertial Manifolds for a Class of Generalized Kirchhoff-Type Coupled Equations.
Open Journal of Applied Sciences,
12, 1116-1127. doi:
10.4236/ojapps.2022.127076.
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