Invariance Results for Delay and Volterra Equations in Fractional Order Sobolev Spaces

DOI10.2307/2000702zbMath0635.45017OpenAlexW4241321942MaRDI QIDQ3774333

Karl Kunisch, Franz Kappel

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2000702

zbMATH Keywords

convergence rateswell-posedness theoryinfinite delay equationsfractional order Sobolev spacenonautonomous neutral functional differential equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) General theory of functional-differential equations (34K05)

Related Items (4)

Approximation of infinite delay and Volterra type equations ⋮ Functional-differential equations in Sobolev spaces and related problems of spectral theory ⋮ Asymptotic behavior of solutions of delay equations in Hilbert spaces ⋮ The Cauchy problem for the Schrödinger equation in dimension three with concentrated nonlinearity

Cites Work

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• Some considerations to the fundamental theory of infinite delay equations
• Remarks on semilinear partial functional-differential equations with infinite delay
• Estimation of Delays and Other Parameters in Nonlinear Functional Differential Equations
• Linear Functional Differential Equations as Semigroups on Product Spaces
• Extended Initial and Forcing Function Semigroups Generated by a Functional Equation
• Semigroups Generated by a Neutral Functional Differential Equation
• Differentiability and Convergence Rates of Approximating Semigroups for Retarded Functional Differential Equations
• Parameter Estimation and Identification for Systems with Delays

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