Yao Zhou, Hongliang Liu
Abstract:
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 order derivative term tends to zero
which showing the relationship between the uniform attractors for second
order and the corresponding first order nonautonomous delay lattice systems.
Submitted March 22, 2025. Published June 26, 2025.
Math Subject Classifications: 37C70, 34K31, 34L26, 37K60.
Key Words: Singular perturbed second order delay lattice system; uniform attractor; upper semicontinuity; continuous process; almost periodic function.
DOI: 10.58997/ejde.2025.64
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Yao Zhou School of Mathematics and Physics University of South China Hengyang, Hunan 421001, China email: yaozhou202401@163.com |
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Hongliang Liu School of Mathematics and Physics University of South China Hengyang, Hunan 421001, China email: math_lhliang@163.com |
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