Abstract Volterra Integro-Differential Equations: Approximation and Convergence of Resolvent Operator Families
type: Item
instance of: scholarly article
title: Abstract Volterra Integro-Differential Equations: Approximation and Convergence of Resolvent Operator Families
zbMATH Open document ID: 1302.47066
DOI: 10.1080/01630563.2014.908211
author: Marko Kostić
published in: Numerical Functional Analysis and Optimization
publication date: 2014-11-12T00:00:00Z
Mathematics Subject Classification ID: 47D06
Mathematics Subject Classification ID: 47D60
Mathematics Subject Classification ID: 47A58
Mathematics Subject Classification ID: 34A45
Mathematics Subject Classification ID: 45D05
zbMATH DE Number: 6369037
zbMATH Keywords: abstract multi-term fractional differential equations
zbMATH Keywords: abstract Volterra equations
zbMATH Keywords: approximation and convergence
zbMATH Keywords: locally convex spaces
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1080/01630563.2014.908211
OpenAlex ID: W2089217455
cites work: Optimal and non-optimal rates of approximation for integrated semigroups and cosine functions
cites work: On representations, inversions, and approximations of laplace transforms in banach spaces
cites work: On the convergence and approximation of cosine functions
cites work: Remarks on pseudo-resolvents and infinitesimal generators of semi-groups
cites work: THE SPACE OF FOURIER HYPERFUNCTIONS AS AN INDUCTIVE LIMIT OF HILBERT SPACES
cites work: Abstract Volterra equations in locally convex spaces
cites work: On a class of time-fractional differential equations
cites work: On the product formulas for \(C\)-semigroups
cites work: On the convergence and approximation of integrated semigroups
cites work: On approximation and representation of \(k\)-regularized resolvent families
cites work: Rates of approximation and ergodic limits of regularized operator families
cites work: Approximation of local convoluted semigroups
cites work: The Hille-Yosida and Trotter-Kato theorems for integrated semigroups
cites work: Approximation of semi-groups of operators
cites work: Approximations of Laplace transforms and integrated semigroups
cites work: Approximation theorems for the propagators of higher order abstract Cauchy problems
cites work: Abstract degenerate Cauchy problems in locally convex spaces
cites work: Integrated cosine functions
description: scientific article; zbMATH DE number 6369037