Results 31 to 40 of about 5,179,593 (338)

Integral Representation for the Solutions of Autonomous Linear Neutral Fractional Systems with Distributed Delay

open access: yesMathematics, 2020
The aim of this work is to obtain an integral representation formula for the solutions of initial value problems for autonomous linear fractional neutral systems with Caputo type derivatives and distributed delays. The results obtained improve and extend
Ekaterina Madamlieva   +3 more
doaj   +1 more source

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

Complete dynamical analysis for a nonlinear HTLV-I infection model with distributed delay, CTL response and immune impairment

open access: yesDiscrete & Continuous Dynamical Systems - B, 2020
It is well known that CTL (cytotoxic T lymphocyte) immune response could be broadly classified into lytic and nonlytic components, nonlinear functions can better reproduce saturated effects in the interaction processes between cell and viral populations,
Lianwen Wang   +3 more
semanticscholar   +1 more source

Delay, memory, and messaging tradeoffs in distributed service systems [PDF]

open access: yes, 2016
We consider the following distributed service model: jobs with unit mean, exponentially distributed, and independent processing times arrive as a Poisson process of rate $\lambda n$, with ...
Bertsimas D.   +6 more
core   +2 more sources

Distributed Nonlocal Feedback Delays May Destabilize Fronts in Neural Fields, Distributed Transmission Delays Do Not [PDF]

open access: yesThe Journal of Mathematical Neuroscience, 2013
The spread of activity in neural populations is a well-known phenomenon. To understand the propagation speed and the stability of stationary fronts in neural populations, the present work considers a neural field model that involves intracortical and cortico-cortical synaptic interactions.
Hutt, Axel, Zhang, Linghai
openaire   +4 more sources

Delay Range Stability of distributed time delay systems [PDF]

open access: yesIFAC Proceedings Volumes, 2009
Abstract This paper is dedicated to the stability analysis of a class of uncertain distributed delay systems, the kernel of which can be modeled as a polynomial function. The results are constructed by rewriting the system as an uncertain interconnected model. Appropriate robust control tools, i.e.
Gouaisbaut, Frédéric, Ariba, Yassine
openaire   +2 more sources

Growth of solutions for a coupled nonlinear Klein–Gordon system with strong damping, source, and distributed delay terms

open access: yesAdvances in Differential Equations, 2020
In this work, the exponential growth of solutions for a coupled nonlinear Klein–Gordon system with distributed delay, strong damping, and source terms is proved. Take into consideration some suitable assumptions.
Abdelaziz Rahmoune   +3 more
semanticscholar   +1 more source

Angiogenesis model with Erlang distributed delays

open access: yesMathematical Biosciences and Engineering, 2017
We consider the model of angiogenesis process proposed by Bodnar and Foryś (2009) with time delays included into the vessels formation and tumour growth processes. Originally, discrete delays were considered, while in the present paper we focus on distributed delays and discuss specific results for the Erlang distributions.
Emad Attia, Marek Bodnar, Urszula Foryś
openaire   +3 more sources

The continuous delayed distribution problem

open access: yesComputers & Operations Research, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dina Smirnov   +2 more
openaire   +3 more sources

Oscillation of higher-order differential equations with distributed delay

open access: yesJournal of Inequalities and Applications, 2019
This paper deals with the oscillation properties of higher-order nonlinear differential equations with distributed delay [b(ℓ)(y(n−1)(ℓ))γ]′+∫cdq(ℓ,ξ)yγ(g(ℓ,ξ))d(ξ)=0,ℓ≥ℓ0,$$ \bigl[ b ( \ell ) \bigl( y^{ ( n-1 ) } ( \ell ) \bigr) ^{\gamma} \bigr ...
O. Bazighifan, E. Elabbasy, O. Moaaz
semanticscholar   +1 more source

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