Local Analyticity in Weighted L 1 -Spaces and Applications to Stability Problems for Volterra Equations

DOI10.2307/1999131zbMath0499.45007OpenAlexW4249555313MaRDI QIDQ3965093

Olof J. Staffans, G. S. Jordan, Robert L. Wheeler

Publication date: 1982

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1999131

zbMATH Keywords

asymptotic behaviorweighted spacesresolventsVolterra equationslocal analyticitylinear convolution equationsexistence of bounded or integrable solutionsWiener-Levy type

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Volterra integral equations (45D05) Functional calculus in topological algebras (46H30)

Related Items (15)

The Null Space and the Range of a Convolution Operator in a Fading Memory Space ⋮ Hopf bifurcation for functional and functional differential equations with infinite delay ⋮ The spectrum of elements of a commutative LMC-algebra relative to a Banach subalgebra ⋮ On a forced quasilinear hyperbolic Volterrra equation with fading memory ⋮ Stabilization of a distributed system with a stable compensator ⋮ Viscoelastic and boundary feedback damping: Precise energy decay rates when creep modes are dominant ⋮ Stochastic Volterra equations in weighted spaces ⋮ Asymptotic behaviour of resolvents of abstract Volterra equations ⋮ A stability criterion for a linear Volterra equation of convolution type ⋮ Weighted Paley-Wiener theorem, with applications to stability of the linear multi-step methods for Volterra equations in Hilbert spaces ⋮ Passive boundary damping of viscoelastic structures ⋮ The Cauchy problem in one-dimensional nonlinear viscoelasticity ⋮ On a neutral functional differential equation in a fading memory space ⋮ Some well-posed functional equations which generate semigroups ⋮ MIMO \(l^ 1\)-optimization with a scalar control

This page was built for publication: Local Analyticity in Weighted L 1 -Spaces and Applications to Stability Problems for Volterra Equations