More on linearized stability for neutral equations with state-dependent delays

DOI10.1007/s12591-011-0093-3zbMath1268.34137OpenAlexW1977217953MaRDI QIDQ691318

Hans-Otto Walther

Publication date: 30 November 2012

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12591-011-0093-3

zbMATH Keywords

stabilityfunctional differential equationstate-dependent delayneutral

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Neutral functional-differential equations (34K40)

Related Items (3)

Linearized stability for a new class of neutral equations with state-dependent delay ⋮ Global dynamics of a state-dependent delay model with unimodal feedback ⋮ Positivity and stability for nondensely defined partial neutral functional differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Linearized stability for semiflows generated by a class of neutral equations, with applications to state-dependent delays
• Bifurcation of periodic solutions with large periods for a delay differential equation
• Linearized stability for a class of neutral functional differential equations with state-dependent delays
• Center-stable manifolds for differential equations with state-dependent delays
• Linear autonomous neutral functional differential equations
• Introduction to functional differential equations
• Periodic solutions for functional differential equations with multiple state-dependent time lags
• A local unstable manifold for differential equations with state-dependent delay
• The solution manifold and \(C^{1}\)-smoothness for differential equations with state-dependent delay.
• On a model of a currency exchange rate -- local stability and periodic solutions
• A saddle point theorem for functional state-dependent delay differential equations
• Convergence to square waves for a price model with delay
• A class of functional equations of neutral type
• On stability properties for neutral differential equations with state-dependent delay

This page was built for publication: More on linearized stability for neutral equations with state-dependent delays