Stability of operator semigroups: ideas and results
Ralph Chill, Yuri Tomilov (2007)
Banach Center Publications
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Ralph Chill, Yuri Tomilov (2007)
Banach Center Publications
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Megan, M., Sasu, L., Sasu, B. (2000)
Acta Mathematica Universitatis Comenianae. New Series
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Ashordia, M., Kekelia, N. (2000)
Memoirs on Differential Equations and Mathematical Physics
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Sam B. Nadler, Jr. (1973)
Colloquium Mathematicae
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Stanisław Kasprzyk (1972)
Annales Polonici Mathematici
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Matematički Vesnik
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Katarzyna Pichór (2012)
Annales Polonici Mathematici
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A new theorem on asymptotic stability and sweeping of substochastic semigroups is proved, and applied semigroups generated by birth-death processes.
Frank Räbiger (1993)
Mathematische Annalen
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Michael I. Gil' (2015)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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We consider nonlinear non-autonomous multivariable systems governed by differential equations with differentiable linear parts. Explicit conditions for the exponential stability are established. These conditions are formulated in terms of the norms of the derivatives and eigenvalues of the variable matrices, and certain scalar functions characterizing the nonlinearity. Moreover, an estimate for the solutions is derived. It gives us a bound for the region of attraction of the steady...
Zenon Moszner (2016)
Annales Mathematicae Silesianae
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In the paper two types of stability and of b-stability of functional equations are distinguished.
J.M.A.M. van Neerven (1996)
Semigroup forum
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M. Renardy (1995)
Semigroup forum
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Kekelia, N. (2000)
Memoirs on Differential Equations and Mathematical Physics
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Hoever, Georg, Siedentop, Heinz (1999)
Mathematical Physics Electronic Journal [electronic only]
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