We prove that solutions of the Cauchy problem for semilinear parabolic systems converge to solutions of the Cauchy problem for a corresponding systems of ordinary differential equations, as .
Submitted October 13, 2008. Published January 6, 2009.
Math Subject Classifications: 35K55, 35K65.
Key Words: Semilinear parabolic systems; stabilization
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| Alexander Gladkov |
Mathematics Department, Vitebsk State University
Moskovskii pr. 33, 210038 Vitebsk, Belarus
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