Results 241 to 250 of about 23,117 (284)

Uniform Stability for Delay-Differential Equations with Infinite Delays

open access: yesUniform Stability for Delay-Differential Equations with Infinite Delays
openaire  

APPROXIMATING INFINITE DELAY WITH FINITE DELAY

open access: yesCommunications in Contemporary Mathematics, 2012
Equations with infinite delay commonly face the philosophical objection of being "unphysical", since a memory of infinite duration conflicts with reality. Indeed, besides common sense, experimental observations on concrete physical models tell that effects from the far past cannot possibly influence the current dynamics of a given system.
CONTI, MONICA   +2 more
openaire   +2 more sources

Stochastic functional differential equations with infinite delay

open access: yesJournal of Mathematical Analysis and Applications, 2009
The stability and boundedness of the solution for stochastic functional differential equation with finite delay have been studied by several authors, but there is almost no work on the stability of the solutions for stochastic functional differential ...
Shaobo Zhou
exaly   +2 more sources

The discrete dynamics of nonlinear infinite-delay-differential equations

open access: yesApplied Mathematics Letters, 2002
This paper deals with numerical stability of nonlinear infinite-delay systems of the form y′(t) = ƒ(t,y(t),y(pt)) (p ∈ (0, 1), t > 0). Recently, linear stability properties of some numerical methods for infinite delay systems have been studied by several
Chengjian Zhang
exaly   +2 more sources

Hybrid stochastic functional differential equations with infinite delay: Approximations and numerics [PDF]

open access: yesJournal of Differential Equations, 2023
This paper is to investigate if the solution of a hybrid stochastic functional differential equation (SFDE) with infinite delay can be approximated by the solution of the corresponding hybrid SFDE with finite delay. A positive result is established for a
Xiaoyue Li, Xuerong Mao
exaly   +1 more source

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