Solution of a functional differential equation via delayed unit step functions

DOI10.1080/00207728308926514zbMath0509.93026OpenAlexW1990745544WikidataQ115309271 ScholiaQ115309271MaRDI QIDQ4749684

Hwang, Chyi

Publication date: 1983

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207728308926514

zbMATH Keywords

operational matricesdelayed unit step functions

Mathematics Subject Classification ID

Related Items (18)

Solution of functional differential equations via generalized block pulse functions ⋮ Analysis, parameter estimation and optimal control of non-linear systems via general orthogonal polynomials ⋮ Numerical solution of pantograph-type delay differential equations using perturbation-iteration algorithms ⋮ Block pulse functions, the most fundamental of all piecewise constant basis functions ⋮ Solution of discrete scaled systems via general discrete orthogonal polynomials ⋮ A Taylor method for numerical solution of generalized pantograph equations with linear functional argument ⋮ Solution of a scaled system via generalized orthogonal polynomials ⋮ Laguerre polynomial approach for solving linear delay difference equations ⋮ Solutions of a linear differential equation of the stretched type via Laguerre functions ⋮ Non-linear systems: identification and optimal control ⋮ Orthoexponential polynomial solutions of delay pantograph differential equations with residual error estimation ⋮ A numerical approach with error estimation to solve general integro-differential-difference equations using Dickson polynomials ⋮ Laguerre matrix method with the residual error estimation for solutions of a class of delay differential equations ⋮ Model conversions of uncertain linear system using the improved block-pulse function approach ⋮ A collocation approach for the numerical solution of certain linear retarded and advanced integrodifferential equations with linear functional arguments ⋮ A taylor collocation method for solving high-order linear pantograph equations with linear functional argument ⋮ Solution of a scaled system via Chebyshev polynomials ⋮ On the nature of block-pulse operational matrices: some further results

Cites Work

• Walsh operational matrices for fractional calculus and their application to distributed systems
• Block pulse series analysis of scaled systems
• Laguerre series solution of a functional differential equation
• Walsh stretch matrices and functional differential equations
• A state-space approach to Walsh series solution of linear systems
• Analysis and optimal control of time-varying linear systems via Walsh functions
• A chain of factored matrices for Routh array inversion and continued fraction inversion†
• On a Functional Differential Equation

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