Upper semicontinuity of uniform attractors for singular perturbed second order nonautonomous delay lattice systems
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...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2025-06-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2025/64/abstr.html |
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| Summary: | 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. |
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| ISSN: | 1072-6691 |