An averaging method for singularly perturbed systems of semilinear differential inclusions with \(C_0\)-semigroups

DOI10.1023/A:1025604317289zbMath1034.34075OpenAlexW3158163128MaRDI QIDQ1410228

Publication date: 14 October 2003

Published in: Set-Valued Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1025604317289

zbMATH Keywords

differential inclusions periodic solutions singularly perturbed systems averaging method

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Evolution inclusions (34G25) Averaging method for ordinary differential equations (34C29) Singular perturbations of ordinary differential equations (34D15) Singular perturbations for ordinary differential equations (34E15)

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On almost periodic trajectories of control systems with feedback in the form of sweeping processes ⋮ On a controllability problem for a feedback control system governed by a semilinear differential equation and a sweeping process ⋮ Conditions for invertibility and Hurwitz stability ⋮ A bifurcation problem for a class of periodically perturbed autonomous parabolic equations ⋮ Absolute logarithmic norm ⋮ Stability and optimality of solutions to differential inclusions via averaging method ⋮ Exponential stability of positive semigroups in Banach spaces

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