Two theorems on singularly perturbed semigroups with applications to models of applied mathematics

DOI10.3934/DCDSB.2012.17.735zbMath1247.34105OpenAlexW2328903912WikidataQ59341349 ScholiaQ59341349MaRDI QIDQ414730

Radosław Bogucki, Adam Bobrowski

Publication date: 11 May 2012

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2012.17.735

zbMATH Keywords

singular perturbationgene expressionpiecewise deterministic Markov processgene regulationdegenerate convergenceSemigroups of operators

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) One-parameter semigroups and linear evolution equations (47D06) Singular perturbations of ordinary differential equations (34D15) Linear differential equations in abstract spaces (34G10) Applications of operator theory in chemistry and life sciences (47N60) Transition functions, generators and resolvents (60J35)

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