Uniform exponential stability of solutions to abstract Volterra equations

DOI10.1007/s00028-009-0028-4zbMath1239.34065OpenAlexW2068077558MaRDI QIDQ423374

Jin Liang, Ti-Jun Xiao, Jian-Hua Chen

Publication date: 2 June 2012

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-009-0028-4

zbMATH Keywords

exponential stabilityVolterra equation\(C _{0}\) semigroupeventually norm continuous

Mathematics Subject Classification ID

Functional-differential equations in abstract spaces (34K30) Stability theory of functional-differential equations (34K20) Linear differential equations in abstract spaces (34G10)

Related Items (11)

Uniform exponential stability and applications to bounded solutions of integro-differential equations in Banach spaces ⋮ Weighted pseudo almost periodic solutions to a class of semilinear integro-differential equations in Banach spaces ⋮ A subordination principle for subdiffusion equations with memory ⋮ Solvability of nonautonomous fractional integrodifferential equations with infinite delay ⋮ Bounded solutions of functional integro-differential equations arising from heat conduction in materials with memory ⋮ Eberlein weak almost periodic solutions for a class of integro-differential equations with infinite delay ⋮ Asymptotic behavior and representation of solutions to a Volterra kind of equation with a singular kernel ⋮ Almost exponential stability and exponential stability of resolvent operator families ⋮ Bounded solutions to a class of semilinear integro-differential equations in Banach spaces ⋮ Strong stability and asymptotical almost periodicity of Volterra equations in Banach spaces ⋮ Uniform stability of a family of resolvent operators in Hilbert spaces

Cites Work

• Unnamed Item
• Unnamed Item
• A resolvent test for admissibility of Volterra observation operators
• Admissible observation operators for linear semigroups
• Admissible control and observation operators for Volterra integral equations
• On perturbations preserving the immediate norm continuity of semigroups
• One-Parameter Semigroups for Linear Evolution Equations
• Semigroups and linear partial differential equations with delay

This page was built for publication: Uniform exponential stability of solutions to abstract Volterra equations