Exponential stability and uniform boundedness of solutions for nonautonomous periodic abstract Cauchy problems. An evolution semigroup approach

DOI10.1007/s00020-012-1993-5zbMath1279.47063OpenAlexW1964833048MaRDI QIDQ1946555

Dhaou Lassoued, Constantin Buşe, Olivia Saierli, Thanh Lan Nguyen

Publication date: 15 April 2013

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-012-1993-5

zbMATH Keywords

uniform exponential stabilityboundednessalmost periodic functionsevolution semigroupperiodic evolution families

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) One-parameter semigroups and linear evolution equations (47D06) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Almost and pseudo-almost periodic solutions to PDEs (35B15) Spectrum, resolvent (47A10) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (5)

Uniform exponential stability of discrete semigroup and space of asymptotically almost periodic sequences ⋮ On almost periodicity of solutions of second-order differential equations involving reflection of the argument ⋮ Admissible Banach function spaces for linear dynamics with nonuniform behavior on the half-line ⋮ On uniform exponential stability and exact admissibility of discrete semigroups ⋮ Random Noninstantaneous Impulsive Models for Studying Periodic Evolution Processes in Pharmacotherapy

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