Global Asymptotic Stability for Semilinear Equations via Thompson’s Metric
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G. Herzog [1] ; P.C. Kunstmann [1]
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[1] Karlsruher Institut für Technologie (KIT). Germany
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- Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 29, Nº 1-2, 2014, págs. 141-157
- Idioma: inglés
- Enlaces
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Resumen
In ordered Banach spaces we prove the global asymptotic stability of the unique strictly positive equilibrium of the semilinear equation u ′ = Au + f(u), if A is the generator of a positive and exponentially stable C0-semigroup and f is a contraction with respect to Thompson’s metric. The given estimates show that convergence holds with a uniform exponential rate.
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