Nonoscillation, maximum principles, and exponential stability of second order delay differential equations without damping term

DOI10.1186/1029-242X-2014-361zbMath1337.34069OpenAlexW2122674924WikidataQ59320689 ScholiaQ59320689MaRDI QIDQ257754

Alexander I. Domoshnitsky

Publication date: 17 March 2016

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

Full work available at URL: https://doi.org/10.1186/1029-242x-2014-361

zbMATH Keywords

maximum principlesstabilizationexponential stabilitydifferential inequalitiesnonoscillationCauchy functionpositivity of solutionspositivity of the Cauchy function

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Oscillation theory of functional-differential equations (34K11)

Related Items (13)

Stability and boundedness of solutions to a certain second-order nonautonomous stochastic differential equation ⋮ Exponential stability of a second order delay differential equation without damping term ⋮ On exponential stability of second order delay differential equations ⋮ Periodicity, stability, and boundedness of solutions to certain second order delay differential equations ⋮ Unnamed Item ⋮ Stabilization by delay distributed feedback control ⋮ Stability, Boundedness and periodic solutions to certain second order delay differential equations ⋮ W-transform for exponential stability of second order delay differential equations without damping terms ⋮ An exponential stability criterion for nonlinear second-order functional differential equations with time-variable delays ⋮ Unnamed Item ⋮ Stabilization of third-order differential equation by delay distributed feedback control ⋮ Stability of neutral delay differential equations with applications in a model of human balancing ⋮ A method for stabilization of ground robot path controlled by airborne autopilot with time delay

Cites Work

• Stability criteria for certain second-order delay differential equations with mixed coefficients
• Stability of the second order delay differential equations with a damping term
• Stability and periodic solutions of ordinary and functional differential equations
• Theory of functional differential equations. 2nd ed
• Oscillation theorems for second-order functional differential equations
• Nonlinear delay-differential equations with small lag
• Unboundedness of solutions and instability of differential equations of the second order with delayed argument
• On T. Kato's problem regarding bounded solutions of differential- functional equations
• Nonoscillation Theory of Functional Differential Equations with Applications
• Asymptotic solutions for second order delay differential equations
• Stability of a second-order differential equation with retarded argument
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