Local dynamics of an equation with a large state-dependent delay

DOI10.1134/S1064562415050221zbMath1384.34081MaRDI QIDQ906099

I. S. Kashchenko, Sergey A. Kaschenko

Publication date: 29 January 2016

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

parabolic equationdelay differential equationasymptotic formulastate dependent delayquasi-normal form

Mathematics Subject Classification ID

Transformation and reduction of functional-differential equations and systems, normal forms (34K17) Stability theory of functional-differential equations (34K20) Boundary value problems for functional-differential equations (34K10) Stationary solutions of functional-differential equations (34K21)

Related Items (4)

Local dynamics of a singularly perturbed second order equation with state-dependent delay ⋮ Relaxation oscillations in a logistic equation with nonconstant delay ⋮ Asymptotics of an Equation with Large State-Dependent Delay ⋮ Bifurcating Solutions and Asymptotics in Logistic Equation with State-Dependent Delays

Cites Work

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• The Ginzburg-Landau equation as a normal form for a second-order difference-differential equation with a large delay
• Introduction to the theory and application of differential equations with deviating arguments. Translated from the Russian by John L. Casti
• Normalization of a System with Two Large Delays
• NORMALIZATION IN THE SYSTEMS WITH SMALL DIFFUSION
• Some New Results and Problems in the Theory of Differential-Delay Equations
• Local dynamics of equations with large delay

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