Results 31 to 40 of about 527 (114)

Delayed Feedback Control near Hopf Bifurcation

open access: yes, 2007
The stability of functional differential equations under delayed feedback is investigated near a Hopf bifurcation. Necessary and sufficient conditions are derived for the stability of the equilibrium solution using averaging theory.
Atay, F.M.   +2 more
core   +4 more sources

Approximate solutions of stochastic differential delay equations with Markovian switching [PDF]

open access: yes, 2010
Our main aim is to develop the existence theory for the solutions to stochastic differential delay equations with Markovian switching (SDDEwMSs) and to establish the convergence theory for the Euler-Maruyama approximate solutions under the local ...
Bahar A.   +9 more
core   +1 more source

Stability investigation of quadratic systems with delay

open access: yesInternational Journal of Stochastic Analysis, Volume 13, Issue 1, Page 85-92, 2000., 2000
Systems of differential equations with quadratic right‐hand sides with delay are considered in the paper. Compact matrix notation form is proposed for the systems of such type. Stability investigations are performed by Lyapunov′s second method with functions of quadratic form.
Vladimir Davydov, Denis Khusainov
wiley   +1 more source

Global stability of a distributed delayed viral model with general incidence rate

open access: yesOpen Mathematics, 2018
In this paper, we discussed a infinitely distributed delayed viral infection model with nonlinear immune response and general incidence rate. We proved the existence and uniqueness of the equilibria.
Ávila-Vales Eric   +2 more
doaj   +1 more source

Exponential stability for abstract linear autonomous functional differential equations with infinite delay

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 2, Page 255-259, 1998., 1996
Based on our preceding paper, this note is concerned with the exponential stability of the solution semigroup for the abstract linear autonomous functional differential equation where L is a continuous linear operator on some abstract phase space B into a Banach space E. We prove that the solution semigroup of (∗) is exponentially stable if and only if
Jin Liang, Falun Huang, Tijun Xiao
wiley   +1 more source

Uniform practical stability in terms of two measures with effect of delay at the time of impulses

open access: yesNonlinear Engineering, 2016
In this paper, some sufficient conditions for uniform practical stability of impulsive functional differential equations in terms of two measures with effect of delay at the time of impulses are obtained by using piecewise continuous Lyapunov functions ...
Singh Palwinder   +2 more
doaj   +1 more source

Asymptotic constancy of solutions of systems of difference equations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 3, Page 501-506, 1996., 1994
Assuming only conditional summability we study the convergence of the solutions of difference systems.
Rigoberto Medina, Manuel Pinto
wiley   +1 more source

A Dynamic P53-MDM2 Model with Time Delay

open access: yes, 2005
Specific activator and repressor transcription factors which bind to specific regulator DNA sequences, play an important role in gene activity control.
Adimy   +10 more
core   +1 more source

Stability implications of delay distribution for first-order and second-order systems [PDF]

open access: yes, 2009
Kiss, G., & Krauskopf, B. (2009). Stability implications of delay distribution for first-order and second-order systems.
Kiss, G, Krauskopf, B
core   +2 more sources

Instability for a Certain Functional Differential Equation of Sixth Order [PDF]

open access: yes, 2011
Sucient conditions are obtained for the instability of the zero solutionof a certain sixth order nonlinear functional dierential equation by the Lyapunov-Krasovskii functional approach.
Tunc, C. (Cemil)
core   +2 more sources

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