Asymptotic stability via the Kreĭn-Rutman theorem for singularly perturbed parabolic periodic Dirichlet problems (Q618216)
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scientific article; zbMATH DE number 5836807
| Language | Label | Description | Also known as |
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| English | Asymptotic stability via the Kreĭn-Rutman theorem for singularly perturbed parabolic periodic Dirichlet problems |
scientific article; zbMATH DE number 5836807 |
Statements
Asymptotic stability via the Kreĭn-Rutman theorem for singularly perturbed parabolic periodic Dirichlet problems (English)
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14 January 2011
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The authors consider singularly perturbed semilinear parabolic periodic problems and assume the existence of a family of solutions. The exponential asymptotic stability of these solutions by means of a special class of lower and upper solutions is established.
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singularly perturbed parabolic Dirichlet problems
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exponential asymptotic stability
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Kreĭn-rutman theorem
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lower and upper solutions
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