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UPPER SEMICONTINUITY OF UNIFORM ATTRACTORS FOR SINGULAR PERTURBED SECOND ORDER NONAUTONOMOUS DELAY LATTICE SYSTEMS

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成果类型:
期刊论文
作者:
Zhou, Yao;Liu, Hongliang
通讯作者:
Liu, HL
作者机构:
[Zhou, Yao; Liu, Hongliang; Liu, HL] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
通讯机构:
[Liu, HL ] U
Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
语种:
英文
关键词:
Singular perturbed;second order delay lattice system;uniform attractor;upper semicontinuity;continuous process;almost periodic function
期刊:
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN:
1072-6691
年:
2025
卷:
2025
期:
64
基金类别:
Natural Science Foundation of Hunan Province [2024JJ5320]
机构署名:
本校为第一且通讯机构
院系归属:
数理学院
摘要:
. In this article, we consider the upper semicontinuity of the uniform attractors for the singular perturbed second order nonautonomous delay lattice systems driven by the almost periodic forces as the coefficient of second order derivative term tends to zero under the Hausdorff semidistance. First we prove the existence of uniform attractors for the second order and the corresponding first order nonautonomous delay lattice systems. Then we establish some prior uniform estimations of solutions. Finally we study the upper semicontinuity of the uniform attractors as the coefficient of second ord...

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