Approximation of infinite delay and Volterra type equations

DOI10.1007/BF01396322zbMath0662.65117MaRDI QIDQ1114367

Kazufumi Ito, Franz Kappel

Publication date: 1989

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133326

zbMATH Keywords

Numerical examples\(L^ 2\)- approximationapproximation by Laguerre and Legendre polynomialsinfinite delay equations of neutral typeinfinite order convergenceVolterra type integral and integrodifferential equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Volterra integral equations (45D05)

Related Items (8)

Semigroup formulation and approximation of a linear age-dependent population problem with spatial diffusion ⋮ Qualitative behaviour of numerical approximations to Volterra integro-differential equations ⋮ Approximation of nonlinear infinite delay equations in Banach spaces by finite delay equations ⋮ Two families of approximation schemes for delay systems ⋮ Numerical methods for controls for nonlinear stochastic systems with delays and jumps: applications to admission control ⋮ Numerical solution of a neutral differential equation with infinite delay ⋮ Solution of the Sharpe-Lotka population model via a modified method of characteristics ⋮ New ideas for solving size-structured population models

Cites Work

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• Linear Functional Differential Equations as Semigroups on Product Spaces
• Approximation Results for Orthogonal Polynomials in Sobolev Spaces
• Invariance Results for Delay and Volterra Equations in Fractional Order Sobolev Spaces
• Spline Approximation for Retarded Systems and the Riccati Equation
• Legendre-Tau Approximation for Functional Differential Equations Part II: The Linear Quadratic Optimal Control Problem
• Hereditary Control Problems: Numerical Methods Based on Averaging Approximations
• Legendre–Tau Approximations for Functional-Differential Equations

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