文章基本信息

标题：A Family of Inertial Manifolds for a Class of Asymmetrically Coupled Generalized Higher-Order Kirchhoff Equations
本地全文：下载
作者：Guoguang Lin ; Min Shao
期刊名称：Open Journal of Applied Sciences
印刷版ISSN：2165-3917
电子版ISSN：2165-3925
出版年度：2022
卷号：12
期号：7
页码：1174-1183
DOI：10.4236/ojapps.2022.127080
语种：English
出版社：Scientific Research Publishing
摘要：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.
关键词：Inertial ManifoldHadamard’s Graph Transformation MethodLipschitz ContinuousSpectral Gap Condition