On the complex inversion formula and admissibility for a class of Volterra systems

DOI10.1155/2014/948597zbMath1291.44001OpenAlexW2016750297WikidataQ59043194 ScholiaQ59043194MaRDI QIDQ2247886

Hamid Bounit, Ahmed Fadili

Publication date: 30 June 2014

Published in: International Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/948597

Mathematics Subject Classification ID

Laplace transform (44A10) Linear differential equations in abstract spaces (34G10) Volterra integral equations (45D05)

Related Items (1)

Analysis and control of integro-differential Volterra equations with delays

Cites Work

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• On the admissible control operators for linear and bilinear systems and the Favard spaces
• Admissibility of control operators in UMD spaces and the inverse Laplace transform
• Some remarks on Banach spaces in which martingale difference sequences are unconditional
• A resolvent test for admissibility of Volterra observation operators
• Admissibility and controllability of diagonal Volterra equations with scalar inputs
• Semigroups of linear operators and applications to partial differential equations
• Analytic resolvent operators for integral equations in Banach space
• On linear Volterra equations in Banach spaces
• Existence and regularity for a class of integrodifferential equations of parabolic type
• Stability for abstract linear functional differential equations
• Existence and regularity results for an integral equation with infinite delay in a Banach space
• Integral equations as evolution equations
• Linear abstract integro-differential equations of hyperbolic type in Hilbert spaces
• On the inverse Laplace transform for \(C_0\)-semigroups in UMD-spaces
• On the inversion of the Laplace transform for resolvent families in \(UMD\) spaces
• Admissible control and observation operators for Volterra integral equations
• Counterexamples for abstract linear Volterra equations
• The complex inversion formula in UMD spaces for families of bounded operators
• Vector-valued Laplace Transforms and Cauchy Problems
• THE COMPLEX INVERSION FORMULA REVISITED
• SMOOTH SOLUTIONS OF VOLTERRA EQUATIONS VIA SEMIGROUPS
• Admissible Input Elements for Systems in Hilbert Space and a Carleson Measure Criterion
• On Linear Volterra Equations of Parabolic Type in Banach Spaces
• Vector-Valued Tauberian Theorems and Asymptotic Behavior of Linear Volterra Equations
• Admissibility of Unbounded Control Operators
• One-Parameter Semigroups for Linear Evolution Equations
• THE WEISS CONJECTURE FOR BOUNDED ANALYTIC SEMIGROUPS
• Admissibility of Control Operators for Solution Families to Volterra Integral Equations
• On the Inversion of the Laplace Transform of $C_0 $ Semigroups and Its Applications
• The Weiss conjecture on admissibility of observation operators for contraction semigroups
• On operator cosine functions in UMD spaces

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