Integrally small perturbations of semigroups and stability of partial differential equations

DOI10.1155/2013/207581zbMath1304.35090OpenAlexW2078912588WikidataQ58919392 ScholiaQ58919392MaRDI QIDQ457877

Michael I. Gil'

Publication date: 30 September 2014

Published in: International Journal of Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/207581

zbMATH Keywords

exponentially stable operator semigroupperiodic operator coefficients

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) One-parameter semigroups and linear evolution equations (47D06) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (6)

An inequality concerning the growth bound of an evolution family and the norm of a convolution operator ⋮ Exponential stability conditions for non-autonomous differential equations with unbounded commutators in a Banach space ⋮ Inequalities for Solutions of Linear Differential Equations in a Banach Space and Integro–Differential Equations ⋮ Stability of evolution equations with small commutators in a Banach space ⋮ On uniform \(h\)-stability of non-autonomous evolution equations in Banach spaces ⋮ Asymptotic stability of a perturbed abstract differential equations in Banach spaces

Cites Work

• Integrally small perturbations of linear nonautonomous systems
• Semigroups of linear operators and applications to partial differential equations
• Stability of linear evolution equations in lattice normed spaces
• Criteria for exponential stability of linear differential equations with positive evolution on ordered Banach spaces
• A Theorem of Rolewicz's type in solid function spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Integrally small perturbations of semigroups and stability of partial differential equations