On uniform \(h\)-stability of non-autonomous evolution equations in Banach spaces

DOI10.1007/s40840-021-01173-0zbMath1476.35031OpenAlexW3190076470MaRDI QIDQ2239048

Hanen Damak

Publication date: 2 November 2021

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-021-01173-0

zbMATH Keywords

evolution familynon-autonomous evolution equationspractical \(h\)-stabilityglobal existence of mild solutionsGronwall's inequalities

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Abstract parabolic equations (35K90) Stability in context of PDEs (35B35) One-parameter semigroups and linear evolution equations (47D06) Asymptotic stability in control theory (93D20) Perturbations in context of PDEs (35B20)

Related Items (1)

Observers based control for stabilization of non-autonomous evolution equations in Banach spaces

Cites Work

• Integrally small perturbations of semigroups and stability of partial differential equations
• Representation and control of infinite dimensional systems. Volume I
• Evolution operators and strong solutions of abstract linear parabolic equations
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• Asymptotic integration of a system resulting from the perturbation of an h-system
• A converse theorem on practical \(h\)-stability of nonlinear systems
• Non-autonomous evolution equations of parabolic type with non-instantaneous impulses
• On the global uniform asymptotic stability of time-varying systems
• On the polynomial stability of evolution families
• Stabilization and Practical Asymptotic Stability of Abstract Differential Equations
• Polynomial stability of evolution operators in Banach spaces
• Gronwall-Bellman type integral inequalities and applications to global uniform asymptotic stability
• PERTURBATIONS OF ASYMPTOTICALLY STABLE DIFFERENTIAL SYSTEMS
• Stability of nonlinear differential systems^*
• Asymptotic stability of a perturbed abstract differential equations in Banach spaces
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