Stability regions for linear equations with piecewise continuous delay

DOI10.1016/0898-1221(86)90055-6zbMath0609.34080OpenAlexW2025692259MaRDI QIDQ3749410

Kenneth L. Cooke, Joseph Wiener

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0898-1221(86)90055-6

zbMATH Keywords

asymptotic stabilitystability regionstep functionfirst order differential equation

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20)

Related Items (9)

Numerical Approximation of Neutral Differential Equations on Infinite Interval ⋮ Numerical approximation of the solutions of delay differential equations on an infinite interval using piecewise constant arguments ⋮ On numerical approximation using differential equations with piecewise-constant arguments ⋮ Parameter Identification in a Respiratory Control System Model with Delay ⋮ Exponential stability of periodic solutions of recurrent neural networks with functional dependence on piecewise constant argument ⋮ Approximation of mild solutions of delay differential equations on Banach spaces ⋮ Block boundary value methods applied to functional differential equations with piecewise continuous arguments ⋮ Comparison of dynamical behavior between fractional order delayed and discrete conformable fractional order tumor-immune system ⋮ Star-shaped periodic solutions for \(\dot x(t)=-\alpha\{ 1-\|x(t)\|^2\}R(\theta)x([t)\)]

Cites Work

• Retarded differential equations with piecewise constant delays
• Stability in linear delay equations
• A star-shaped condition for stability of linear retarded functional differential equations†
• A procedure for determination of the exponential stability of certain differential-difference equations

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