Spline approximation for autonomous nonlinear functional differential equations

DOI10.1016/0362-546X(86)90055-6zbMath0598.65055OpenAlexW1985586574MaRDI QIDQ3732886

Franz Kappel

Publication date: 1986

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(86)90055-6

zbMATH Keywords

delay systemspline functionssemigroups of transformationsautonomous functional differential equations of retarded type

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) General theory of functional-differential equations (34K05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

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Stability analysis of delay-differential equations by the method of steps and inverse Laplace transform ⋮ Spline approximations for nonlinear hereditary control systems

Cites Work

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• Approximation of nonlinear functional differential equation control systems
• Uniqueness and nonuniqueness of periodic solutions of x'(t)= -g(x(t-1))
• Functional differential equations and nonlinear semigroups in \(L^p\) spaces
• Convergence and approximation of semigroups of nonlinear operators in Banach spaces
• Non-linear functional differential equations and abstract integral equations
• Hereditary Control Problems: Numerical Methods Based on Averaging Approximations
• Autonomous nonlinear functional differential equations and averaging approximations
• Spline Approximations for Neutral Functional Differential Equations
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces

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