Inertial manifolds for functional differential equations with infinite delay

被引：0
作者：
Anh Minh Le [1 ]
机构：
[1] Hong Duc Univ, Dept Anal & Teaching Methodol Math, 565 Quang Trung, Dong Ve, Thanh Hoa, Vietnam
来源：
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2022年 / 15卷 / 03期
关键词：
Lotka-Volterra; infinite delay; diffusion; inertial manifold;
D O I：
10.1142/S1793557122500450
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider a class of functional differential equations with infinite delay in a real separable Hilbert space. By using the Lyapunov-Perron method, we prove the existence of inertial manifolds for mild solutions. The obtained results can be applied to Lotka-Volterra diffusion models with infinite delay.
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页数：14
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