On the stability region of scalar delay-differential equations

DOI10.1016/0022-247X(88)90031-5zbMath0663.34059MaRDI QIDQ1114071

Jitsuro Sugie, Toshiaki Yoneyama

Publication date: 1988

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Stability of solutions to ordinary differential equations (34D20)

Related Items (14)

On exponential stability of linear differential equations with several delays ⋮ Stability in \(n\)-dimensional delay differential equations ⋮ Explicit exponential stability conditions for linear differential equations with several delays ⋮ Stability conditions for scalar delay differential equations with a non-delay term ⋮ Uniform stability for one-dimensional delay-differential equations with dominant delayed term ⋮ Global attractivity in a perturbed linear delay differential equation ⋮ Existence and uniqueness of the solution for some double delay integral equations ⋮ Asymptotic behavior of delay differential equations with instantaneously terms ⋮ Asymptotic behavior of a differential equation with distributed delays ⋮ New stability conditions for linear differential equations with several delays ⋮ Solution estimates for linear differential equations with delay ⋮ Preservation of stability in delay equations under delay perturbations ⋮ On the perturbational global attractivity of nonautonomous delay differential equations ⋮ Halanay inequality, Yorke 3/2 stability criterion, and differential equations with maxima

Cites Work

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• Differential-difference equations
• Existence and stability of solutions of a delay-differential system
• Criteria for asymptotic constancy of solutions of functional differential equations
• On the 3/2 stability theorem for one-dimensional delay-differential equations
• Asymptotic stability for one dimensional differential-delay equations
• Asymptotic Behavior of Solutions of Retarded Differential Equations
• Perturbing uniformly stable nonlinear scalar delay-differential equations
• Asymptotic Stability for Ordinary Differential Equations with Delayed Perturbations

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