Differential algebraic equations with after-effect

DOI10.1016/S0377-0427(01)00600-8zbMath0996.65077MaRDI QIDQ1602766

Christopher T. H. Baker, Hong-Jiong Tian, Christopher A. H. Paul

Publication date: 24 June 2002

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

singular perturbationneutral delay differential equationsdelay differential algebraic equationsindex reduction

Mathematics Subject Classification ID

Related Items (16)

Analysis and numerical solution of linear delay differential-algebraic equations ⋮ STABILIZATION OF UNSTABLE PERIODIC SOLUTIONS BY NONLINEAR RECURSIVE DELAYED FEEDBACK CONTROL ⋮ On convergence of continuous half-explicit Runge-Kutta methods for a class of delay differential-algebraic equations ⋮ Complete observability of differential-algebraic systems with delays ⋮ On the complete observability of hybrid differential-difference systems ⋮ Hybrid discrete-continuous systems: I. stability and stabilizability ⋮ Analysis of linear variable coefficient delay differential-algebraic equations ⋮ Spectral characterizations of solvability and stability for delay differential-algebraic equations ⋮ On integral equation formulations of a class of evolutionary equations with time-lag ⋮ Discontinuous solutions of neutral delay differential equations ⋮ On the Newton iteration in the application of collocation methods to implicit delay equations ⋮ On the stability of hybrid difference-differential systems ⋮ Asymptotic stability analysis of Runge-Kutta methods for differential-algebraic equations with multiple delays ⋮ Solving neutral delay differential equations with state-dependent delays ⋮ PERIODIC SOLUTIONS OF DIFFERENTIAL ALGEBRAIC EQUATIONS WITH TIME DELAYS: COMPUTATION AND STABILITY ANALYSIS ⋮ Hybrid discrete-continuous control systems: I. Representation of solutions

Uses Software

• RODAS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerical solution of retarded initial value problems: Local and global error and stepsize control
• Numerical treatment of delay differential equations by Hermite interpolation
• The tracking of derivative discontinuities in systems of delay- differential equations
• The stability of a class of Runge-Kutta methods for delay differential equations
• Developing a delay differential equation solver
• A new interpolation procedure for adapting Runge-Kutta methods to delay differential equations
• Characterization of jump discontinuities for state dependent delay differential equations
• Asymptotic stability of Hessenberg delay differential-algebraic equations of retarded or neutral type
• Numerical treatment of retarded differential-algebraic equations by collocation methods
• The numerical solution of differential-algebraic systems by Runge-Kutta methods
• Retarded differential equations
• Issues in the numerical solution of evolutionary delay differential equations
• Convergence of numerical methods for systems of neutral functional-differential-algebraic equations
• Runge-Kutta-collocation methods for systems of functional-differential and functional equations
• ODE Methods for the Solution of Differential/Algebraic Systems
• Natural Continuous Extensions of Runge-Kutta Methods
• Singular linear systems of differential equations with delays
• Differential/Algebraic Equations are not ODE’<scp>s</scp>
• Convergence Analysis of the Solution of Retarded and Neutral Delay Differential Equations by Continuous Numerical Methods
• Consistent Initial Condition Calculation for Differential-Algebraic Systems
• Numerical Methods for Delay Differential Equations
• Nonregular 2D descriptor delay systems
• The Numerical Solution of Delay-Differential-Algebraic Equations of Retarded and Neutral Type

This page was built for publication: Differential algebraic equations with after-effect