On Volterra Equations Associated with a Linear Operator
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Publication:3134690
DOI10.2307/2160072zbMath0781.45013OpenAlexW4252654995MaRDI QIDQ3134690
Publication date: 13 September 1993
Full work available at URL: https://doi.org/10.2307/2160072
Laplace transformsemigroupBanach spacecontractionsresolvent familyHille-Yosida spaceVolterra equation of convolution type
One-parameter semigroups and linear evolution equations (47D06) Laplace transform (44A10) Integral operators (47G10) Abstract integral equations, integral equations in abstract spaces (45N05)
Related Items
A representation formula for strongly continuous resolvent families ⋮ Rates of approximation and ergodic limits of resolvent families ⋮ The maximal subspace for generation of \((a, k)\)-regularized families ⋮ Some results for integral inclusions of Volterra type in Banach spaces ⋮ Regularized solutions for abstract Volterra equations ⋮ A mean ergodic theorem for resolvent operators ⋮ Linear Volterra equations and integrated solution families ⋮ Multiplicative perturbations ofC-regularized resolvent families ⋮ Convergence rates of regularized approximation processes.
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