Stability preserving spline approximations for scalar functional differential equations

DOI10.1016/0898-1221(95)00032-TzbMath0874.65055MaRDI QIDQ1894956

Richard H. Fabiano

Publication date: 2 November 1997

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

convergenceexponential stabilitydelay equationspline approximations

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) General theory of functional-differential equations (34K05)

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Cites Work

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• The Linear Regulator Problem for Parabolic Systems
• On the Stability Properties of Spline Approximations for Retarded Systems
• Structure and Stability of Finite Dimensional Approximations for Functional Differential Equations
• Spline Approximation for Retarded Systems and the Riccati Equation
• On Nonconvergence of Adjoint Semigroups for Control Systems with Delays
• Hereditary Control Problems: Numerical Methods Based on Averaging Approximations

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