Difference operators as semigroup generators

DOI10.1007/s00233-010-9232-3zbMath1206.47035OpenAlexW2057306988MaRDI QIDQ617848

Bernd Klöss

Publication date: 14 January 2011

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

Full work available at URL: https://doi.org/10.1007/s00233-010-9232-3

zbMATH Keywords

exponential stabilitydifference operatorspolynomial stability\(C_{0}\)-semigroupsflows in networksdifference semigroup

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Linear difference operators (47B39) General theory of difference equations (39A05)

Related Items (8)

Flows on metric graphs with general boundary conditions ⋮ Flows in networks with delay in the vertices ⋮ Exact and positive controllability of boundary control systems ⋮ Generator property and stability for generalized difference operators ⋮ Telegraph systems on networks and port-Hamiltonians. I. Boundary conditions and well-posedness ⋮ Positive evolution families solving nonautonomous difference equations ⋮ Zero dynamics for networks of waves ⋮ Linear hyperbolic systems on networks: well-posedness and qualitative properties

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Maximal controllability for boundary control problems
• Perturbations of finite networks and asymptotic periodicity of flow semigroups
• Optimal polynomial decay of functions and operator semigroups
• Vertex control of flows in networks
• Stability of operators and operator semigroups
• Equivalence of functional-differential equations of neutral type and abstract Cauchy problems
• One-parameter semigroups of positive operators
• Weak spectral mapping theorems for functional differential equations
• Stability and stabilization of infinite dimensional systems with applications
• Spectral properties and asymptotic periodicity of flows in networks
• A characterization of generators of positive translation semigroups
• The asymptotic behaviour of semigroups of linear operators
• Semigroups for flows in infinite networks
• Polynomial stability of operator semigroups
• Network Perturbations and Asymptotic Periodicity of Recurrent Flows in Infinite Networks
• On the Spectrum of C 0 -Semigroups
• Translation Semigroups and Their Linearizations on Spaces of Integrable Functions
• One-Parameter Semigroups for Linear Evolution Equations
• Asymptotic behavior of flows in networks
• Functional differential equations

This page was built for publication: Difference operators as semigroup generators