Almost exponential stability and exponential stability of resolvent operator families

DOI10.1007/s00233-016-9811-zzbMath1360.45010OpenAlexW2473560293MaRDI QIDQ512193

Zhenbin Fan, Qixiang Dong, Gang Li

Publication date: 24 February 2017

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-016-9811-z

zbMATH Keywords

exponential stabilityVolterra equationabstract integral equationsresolvent family

Mathematics Subject Classification ID

Stability theory for integral equations (45M10) Volterra integral equations (45D05) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (5)

Discrete almost maximal regularity and stability for fractional differential equations in \(L^p([0, 1, \Omega)\)] ⋮ Asymptotic stability of Riemann-Liouville fractional resolvent families ⋮ Ergodicity and stability for \((b, l)\)-regularized resolvent operator families ⋮ Uniform stability of a family of resolvent operators in Hilbert spaces ⋮ Maximal regularity for fractional Cauchy equation in Hölder space and its approximation

Cites Work

• Unnamed Item
• Uniform exponential stability of solutions to abstract Volterra equations
• A mean ergodic theorem for resolvent operators
• Exponential stability for some stochastic neutral partial functional integrodifferential equations with delays and Poisson jumps
• On multiplicative perturbation of integral resolvent families
• Admissibility and uniform dichotomy for evolution families
• On perturbation of \(K\)-regularized resolvent families.
• Time dependent Desch-Schappacher type perturbations of Volterra integral equations
• Multiplicative perturbations of \(C_ 0\)-semigroups and some applications to step responses and cumulative outputs
• The asymptotic behaviour of semigroups of linear operators
• Weak real integral characterizations for exponential stability of semigroups in reflexive spaces
• Lyapunov stability for semigroup actions
• On the growth of semigroups and perturbations
• Asymptotics of evolution equations beyond Banach spaces
• Uniform stability of (a,k)-regularized families
• Evolutionary Integral Equations and Applications
• Uniform stability of resolvent families
• Perturbations of existence families for abstract Cauchy problems
• The Poisson distribution, abstract fractional difference equations, and stability

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