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Global convergence of successive approximations of the Darboux problem for partial functional differential equations with infinite delay [PDF]

open access: yesOpuscula Mathematica, 2014
We consider the Darboux problem for the hyperbolic partial functional differential equation with infinite delay. We deal with generalized (in the "almost everywhere" sense) solutions of this problem.
Tomasz Człapiński
doaj   +1 more source

Stability for Nonautonomous Linear Differential Systems with Infinite Delay [PDF]

open access: yesJournal of Dynamics and Differential Equations, 2020
We study the stability of general n -dimensional nonautonomous linear differential equations with infinite delays. Delay independent criteria, as well as criteria depending on the size of some finite delays are established.
T. Faria
semanticscholar   +1 more source

Stability of Neutral Delay Differential Equations and Their Discretizations [PDF]

open access: yes, 2014
Disertační práce se zabývá asymptotickou stabilitou zpožděných diferenciálních rovnic a jejich diskretizací. V práci jsou uvažovány lineární zpožděné diferenciální rovnice s~konstantním i neohraničeným zpožděním.
Dražková, Jana
core  

Marachkov type stability results for functional differential equations

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 1998
This paper is concerned with systems of functional differential equations with either finite or infinite delay. We give conditions on the system and on a Liapunov function to ensure that the zero solution is asymptotically stable. The main result of this
Theodore Burton, Géza Makay
doaj   +1 more source

Analysis of a stochastic 2D–Navier-Stokes model with infinite delay [PDF]

open access: yes, 2019
Some results concerning a stochastic 2D Navier-Stokes system when the external forces contain hereditary characteristics are established. The existence and uniqueness of solutions in the case of unbounded (infinite) delay are first proved by using the ...
Caraballo Garrido, Tomás, Liu, Linfang
core  

On the computation of attractors for delay differential equations

open access: yes, 2015
In this work we present a novel framework for the computation of finite dimensional invariant sets of infinite dimensional dynamical systems. It extends a classical subdivision technique [Dellnitz/Hohmann 1997] for the computation of such objects of ...
Dellnitz, Michael   +2 more
core   +1 more source

Stochastic Lotka–Volterra system with infinite delay

open access: yesJournal of Computational and Applied Mathematics, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xu, Yong, Wu, Fuke, Tan, Yimin
openaire   +2 more sources

Delay-induced multistability near a global bifurcation

open access: yes, 2007
We study the effect of a time-delayed feedback within a generic model for a saddle-node bifurcation on a limit cycle. Without delay the only attractor below this global bifurcation is a stable node.
E. SCHÖLL   +5 more
core   +1 more source

Linear Rotary Optical Delay Lines

open access: yes, 2014
I present several classes of analytical and semi-analytical solutions for the design of high-speed rotary optical delay lines that use a combination of stationary and rotating curvilinear reflectors.
Skorobogatiy, Maksim
core   +1 more source

Infinite–Dimensional Bifurcations in Spatially Distributed Delay Logistic Equation

open access: yesMathematics, 2022
This paper investigates the questions about the local dynamics in the neighborhood of the equilibrium state for the spatially distributed delay logistic equation with diffusion. The critical cases in the stability problem are singled out.
Sergey Kashchenko
doaj   +1 more source

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