Stability of neutral delay differential equations with applications in a model of human balancing

DOI10.1051/mmnp/2021008zbMath1465.34079OpenAlexW3122235026WikidataQ115334273 ScholiaQ115334273MaRDI QIDQ5001063

Ron Hay Kappel, E. Litsyn, Alexander I. Domoshnitsky, Shai Levi, Roman Yavich

Publication date: 16 July 2021

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/mmnp/2021008

zbMATH Keywords

uniform exponential stabilitydelay equationsCauchy functionexponential estimates of solutions and Cauchy functions

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Growth, boundedness, comparison of solutions to functional-differential equations (34K12) Neutral functional-differential equations (34K40) Stationary solutions of functional-differential equations (34K21)

Related Items (2)

Global well-posedness and exponential decay of fully dynamic and electrostatic or quasi-static piezoelectric beams subject to a neutral delay ⋮ Absolute stability of neutral systems with Lurie type nonlinearity

Cites Work

• Nonoscillation, maximum principles, and exponential stability of second order delay differential equations without damping term
• Stability criteria for certain second-order delay differential equations with mixed coefficients
• On stability of the second order neutral differential equation
• Unboundedness of solutions and instability of differential equations of the second order with delayed argument
• Asymptotic solutions for second order delay differential equations
• Applied Delay Differential Equations
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