On exponential stability of solutions to periodic neutral-type systems

DOI10.1134/S0037446617020082zbMath1376.34062WikidataQ115526033 ScholiaQ115526033MaRDI QIDQ2360290

Inessa I. Matveeva

Publication date: 30 June 2017

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

exponential stabilitydelay differential equationperiodic coefficientestimate of solutions

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Linear functional-differential equations (34K06) Neutral functional-differential equations (34K40) Nonautonomous smooth dynamical systems (37C60)

Related Items (22)

Estimates for solutions to a class of nonlinear time-varying delay systems ⋮ Asymptotic behavior of solutions in a model of immune response in plants ⋮ Stability of solutions to one class of neutral type systems of linear autonomous equations with distributed delay ⋮ On estimates of solutions to systems of nonlinear differential equations with distributed delay and periodic coefficients in the linear terms ⋮ Unnamed Item ⋮ Asymptotic behavior of solutions in one predator-prey model with delay ⋮ Estimates for solutions of one class of system of equations of neutral type with distributed delay ⋮ ESTIMATES FOR SOLUTIONS TO ONE CLASS OF NONAUTONOMOUS SYSTEMS WITH TIME–VARYING CONCENTRATED AND DISTRIBUTED DELAYS ⋮ ESTIMATES FOR SOLUTIONS FOR ONE MODEL OF POPULATION DYNAMICS WITH DELAY ⋮ STABILITY OF SOLUTIONS TO SYSTEMS OF NONLINEAR DIFFERENTIAL EQUATIONS OF NEUTRAL TYPE WITH DISTRIBUTED DELAY ⋮ Some estimates on the exponential stability of solutions of nonlinear neutral type systems with periodic coefficients ⋮ ASYMPTOTIC PROPERTIES OF SOLUTIONS IN A MODEL OF INTERACTION OF POPULATIONS WITH SEVERAL DELAYS ⋮ Estimates for exponential decay of solutions to one class of nonlinear systems of neutral type with periodic coefficients ⋮ Unnamed Item ⋮ Estimates for solutions of one class to systems of nonlinear differential equations with distributed delay ⋮ Estimates for solutions to a class of nonautonomous systems of neutral type with unbounded delay ⋮ Estimates of the Exponential Decay of Solutions to Linear Systems of Neutral Type with Periodic Coefficients ⋮ On the Stability of Systems of Linear Differential Equations of Neutral Type with Distributed Delay ⋮ On the Robust Stability of Solutions to Periodic Systems of Neutral Type ⋮ On stability of solutions to neutral type systems ⋮ The second Lyapunov method for time-delay systems ⋮ Bernstein processes, isovectors and mechanics

Cites Work

• On estimates of solutions to systems of differential equations of neutral type with periodic coefficients
• Delay differential equations: with applications in population dynamics
• Theory of functional differential equations. 2nd ed
• Introduction to the theory and application of differential equations with deviating arguments. Translated from the Russian by John L. Casti
• Estimates for solutions to a class of time-delay systems of neutral type with periodic coefficients and several delays
• Nonoscillation Theory of Functional Differential Equations with Applications
• Stability of Neutral Functional Differential Equations
• Applied Delay Differential Equations
• Estimates of solutions to a class of systems of nonlinear delay differential equations
• Stability of time-delay systems
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