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http://hdl.handle.net/10662/10151
| Title: | Global asymptotic stability for semilinear equations via Thompson's metric |
| Authors: | Herzog, Gerd Kunstmann, P.C. |
| Keywords: | Ordered Banach spaces;Thompson metric;Global stability;Semilinear equations;Espacios de Banach ordenados;Métrica de Thompson;Estabilidad global;Ecuaciones semilineales |
| Issue Date: | 2014 |
| Publisher: | Extracta Mathematicae |
| Abstract: | In ordered Banach spaces we prove the global asymptotic stability of the unique strictly positive equilibrium of the semilinear equation u′ = Au + ꭍ(u), if A is the generator of a positive and exponentially stable C₀-semigroup and ꭍ is a contraction with respect to Thompson's metric. The given estimates show that convergence holds with a uniform exponential rate. |
| URI: | http://hdl.handle.net/10662/10151 |
| Appears in Collections: | Extracta Mathematicae Vol. 29, nº 1-2 (2014) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2605-5686_29_1-2_141.pdf | 129,66 kB | Adobe PDF | View/Open |
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