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On the Stability of Solutions of Neutral Differential Equations with Distributed Delay [PDF]

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2018
We consider one class of systems of linear nonautonomous differential equations of neutral type with distributed delay. The matrix in front of the derivative of the unknown vector-function with delay is constant, the matrix in front of the unknown vector-
T. K. Yskak
doaj   +1 more source

Synchronization in Finite-Time Analysis of Clifford-Valued Neural Networks with Finite-Time Distributed Delays

open access: yesMathematics, 2021
In this paper, we explore the finite-time synchronization of Clifford-valued neural networks with finite-time distributed delays. To address the problem associated with non-commutativity pertaining to the multiplication of Clifford numbers, the original ...
Grienggrai Rajchakit   +4 more
doaj   +1 more source

On Stability Criteria Induced by the Resolvent Kernel for a Fractional Neutral Linear System with Distributed Delays

open access: yesMathematics, 2023
We consider an initial problem (IP) for a linear neutral system with distributed delays and derivatives in Caputo’s sense of incommensurate order, with different kinds of initial functions.
Ekaterina Madamlieva   +2 more
doaj   +1 more source

Delay-Agnostic Asynchronous Distributed Optimization

open access: yes2023 62nd IEEE Conference on Decision and Control (CDC), 2023
Existing asynchronous distributed optimization algorithms often use diminishing step-sizes that cause slow practical convergence, or fixed step-sizes that depend on an assumed upper bound of delays. Not only is such a delay bound hard to obtain in advance, but it is also large and therefore results in unnecessarily slow convergence. This paper develops
Xuyang Wu 0001   +3 more
openaire   +2 more sources

Qualitative Analysis of a Single-Species Model with Distributed Delay and Nonlinear Harvest

open access: yesMathematics, 2021
In this paper, a single-species population model with distributed delay and Michaelis-Menten type harvesting is established. Through an appropriate transformation, the mathematical model is converted into a two-dimensional system.
Zuxiong Li   +3 more
doaj   +1 more source

Distributed Optimisation With Communication Delays

open access: yesCoRR, 2020
This paper discusses distributed optimization over a directed graph. We begin with some well known algorithms which achieve consensus among agents including FROST [1], which possesses the quickest convergence to the optimum. It is a well known fact FROST has a linear convergence.
Shuubham Ojha, Ketan Rajawat
openaire   +2 more sources

Global Stability Analysis of a Five-Dimensional Unemployment Model with Distributed Delay

open access: yesMathematics, 2021
The present paper proposes a five-dimensional mathematical model for studying the labor market, focusing on unemployment, migration, fixed term contractors, full time employment and the number of available vacancies.
Eva Kaslik   +2 more
doaj   +1 more source

Distributed storage allocations for optimal delay [PDF]

open access: yes2011 IEEE International Symposium on Information Theory Proceedings, 2011
We examine the problem of creating an encoded distributed storage representation of a data object for a network of mobile storage nodes so as to achieve the optimal recovery delay. A source node creates a single data object and disseminates an encoded representation of it to other nodes for storage, subject to a given total storage budget.
Derek Leong   +2 more
openaire   +3 more sources

Periodic solutions to a class of distributed delay differential equations via variational methods

open access: yesAdvances in Nonlinear Analysis, 2023
In this article, we study the existence of periodic solutions to a class of distributed delay differential equations. We transform the search for periodic solutions with the special symmetry of a delay differential equation to the problem of finding ...
Xiao Huafeng, Guo Zhiming
doaj   +1 more source

Symmetric periodic solutions for a class of differential delay equations with distributed delay

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2014
We consider the nonlinear distributed delay equation \[ x'(t) = f \left[ \int_{t-1}^{t-d} g(x(s)) \ ds \right], \ \ \ d \in [0,1), \] where $g$ and $f$ are smooth, bounded, and odd and satisfy a positive and a negative feedback condition, respectively.
Benjamin Kennedy
doaj   +1 more source

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