Uniform exponential stability of first-order dynamic equations with several delays

DOI10.1016/J.AMC.2012.04.010zbMath1255.34092OpenAlexW2065669835MaRDI QIDQ450270

Başak Karpuz, Elena Braverman

Publication date: 13 September 2012

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

Full work available at URL: https://doi.org/10.1016/j.amc.2012.04.010

zbMATH Keywords

uniform exponential stabilitytime scaleslinear delay dynamic equationsPerron theorem

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Linear functional-differential equations (34K06) Dynamic equations on time scales or measure chains (34N05)

Related Items (6)

Positivity and uniform exponential stability for Volterra integro-dynamical systems on time scales ⋮ Asymptotic stability of the complex dynamic equation \(u^\Delta-z\cdot u+w\cdot u^\sigma=0\) ⋮ A test for global attractivity of linear dynamic equations with delay ⋮ Asymptotic stability for nonlinear time-varying systems on time scales ⋮ Asymptotic stability of Caputo type fractional neutral dynamical systems with multiple discrete delays ⋮ Sufficient conditions for uniform exponential stability and \(h\)-stability of some classes of dynamic equations on arbitrary time scales

Cites Work

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• The problem of a lazy tester, or exponential dichotomy for impulsive differential equations revisited
• On the exponential stability of a dynamical system on a time scale
• On exponential stability of linear differential equations with several delays
• On the exponential stability of dynamic equations on time scales
• Global stability for nonlinear dynamic equations with variable coefficients
• Exponential stability in functional dynamic equations on time scales
• Stability and periodicity in dynamic delay equations
• Stability in delay difference equations with nonuniform exponential behavior
• Exponential stability of difference equations with several delays: recursive approach
• The concept of spectral dichotomy for linear difference equations
• Boundedness and stability of impulsively perturbed systems in a Banach space
• Integration on time scales.
• On Yoneyama's \({3\over 2}\) stability theorems for one-dimensional delay differential equations
• Stability for time varying linear dynamic systems on time scales
• On exponential dichotomy, Bohl--Perron type theorems and stability of difference equations
• A spectral characterization of exponential stability for linear time-invariant systems on time scales
• Exponential stability of linear delay impulsive differential equations
• Nonoscillation of first-order dynamic equations with several delays
• Stability and instability for dynamic equations on time scales
• Stability for first order delay dynamic equations on time scales
• Exponential stability of dynamic equations on time scales
• Differential equations: Stability, oscillations, time lags
• Dichotomies for linear difference equations
• On the stability of linear dynamic systems on time scales
• The concept of spectral dichotomy for linear difference equations II
• Stability and Stabilizability for Linear Systems of Difference Equations
• Sufficient conditions for the global stability of nonautonomous higher order difference equations
• New characterizations of exponential dichotomy and exponential stability of linear difference equations

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