An analysis on the stability of a state dependent delay differential equation

DOI10.1515/math-2016-0038zbMath1353.34088OpenAlexW2469622189WikidataQ115236044 ScholiaQ115236044MaRDI QIDQ317899

Ali Demir, Sertaç Erman

Publication date: 4 October 2016

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

Full work available at URL: https://doi.org/10.1515/math-2016-0038

zbMATH Keywords

asymptotic stabilitydelay differential equationexistence and uniquenessstate dependent delay

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) General theory of functional-differential equations (34K05)

Related Items (1)

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Cites Work

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• On a differential equation with state-dependent delay. A center-unstable manifold connecting an equilibrium and a periodic orbit
• Finding periodic orbits in state-dependent delay differential equations as roots of algebraic equations
• Dynamics of second order in time evolution equations with state-dependent delay
• Multiple periodic solutions of an equation with state-dependent delay
• Semi-discretization for time-delay systems. Stability and engineering applications.
• Differentiability of solutions with respect to the initial data in differential equations with state-dependent delays
• Global Hopf bifurcation for differential equations with state-dependent delay
• Stability of functional differential equations
• A two-body problem of classical electrodynamics: the one-dimensional case
• Boundary layer phenomena for differential-delay equations with state- dependent time lags. I
• Periodic solutions of some nonlinear autonomous functional differential equations
• Some periodicity criteria for functional differential equations
• Existence of periodic solutions for delay differential equations with state dependent delay
• Periodic solutions for functional differential equations with multiple state-dependent time lags
• A local unstable manifold for differential equations with state-dependent delay
• Existence of periodic solutions for a state dependent delay differential equation
• Mathematical biology. Vol. 1: An introduction.
• Uniqueness of solutions of state dependent delay differential equations
• Introduction to the theory and application of differential equations with deviating arguments. Translated from the Russian by John L. Casti
• Boundary layer phenomena for differential-delay equations with state-dependent time lags: III.
• Delay equations. Functional-, complex-, and nonlinear analysis
• Ulam stability for a delay differential equation
• Topics in delay differential equations
• A periodic solution of a differential equation with state-dependent delay
• Superstability and rigorous asymptotics in singularly perturbed state-dependent delay-differential equations
• A unique methodology for the stability robustness of multiple time delay systems
• On time transformations for differential equations with state-dependent delay
• Asymptotic theory for the delay-differential equation \(u'(t) =-au(t- r(u(t)))\)
• Simplified analytic stability test for systems with commensurate time delays
• An analytic stability test for a class of time-delay systems
• Analysis of a Model Representing Stage-Structured Population Growth with State-Dependent Time Delay
• Slowly oscillating periodic solutions of autonomous state-dependent delay equations
• On the problem of linearization for state-dependent delay differential equations
• Boundary layer phenomena for differential-delay equations with state dependent time lags: II.
• An exact method for the stability analysis of time-delayed linear time-invariant (LTI) systems
• The two-dimensional attractor of a differential equation with state-dependent delay

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