Results 21 to 30 of about 19,234 (260)
Cogent Engineering, 2015 The current paper is concerned with the controllability of nonlocal second-order impulsive neutral stochastic functional integro-differential equations with infinite delay and Poisson jumps in Hilbert spaces.
Diem Dang Huan, Hongjun Gao
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Stochastic Lotka–Volterra system with infinite delay
Journal of Computational and Applied Mathematics, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xu, Yong, Wu, Fuke, Tan, Yimin
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Reduction theories elucidate the origins of complex biological rhythms generated by interacting delay-induced oscillations. [PDF]
PLoS ONE, 2011 Time delay is known to induce sustained oscillations in many biological systems such as electroencephalogram (EEG) activities and gene regulations. Furthermore, interactions among delay-induced oscillations can generate complex collective rhythms, which ...
Ikuhiro Yamaguchi +4 more
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Linearization for Difference Equations with Infinite Delay
, 2023 In this article, we construct a conjugacy map for a linear difference equation with infinite delay and corresponding nonlinear perturbation. We also prove that the conjugacy map is one-one with some additional conditions. As an application of our result, we show that the cases of (uniform) exponential dichotomy follow from our result.
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Discretisation of an infinite delay equation [PDF]
Mathematics of Computation, 2006 The paper considers delay differential equations with an infinite number of delays, tending to infinity: \[ \dot x(t)=ax(t)+\sum_{k=1}^{\infty}b_kx(t-\tau_k), \] where \(\tau_k\to\infty\) for \(k\to\infty\). The sequence \(b_k\) is assumed to be in \(l^1\) and the initial value (a function on \((-\infty,0]\)) is continuous but not necessary bounded or ...
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Stability and Boundedness of Stochastic Volterra Integrodifferential Equations with Infinite Delay
Journal of Applied Mathematics, 2013 We make the first attempt to discuss stability and boundedness of solutions to stochastic Volterra integrodifferential equations with infinite delay (IDSVIDEs).
Chunmei Zhang, Wenxue Li, Ke Wang
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Nonlinear volterra equations with infinite delay
Monatshefte f�r Mathematik, 1977 This paper is concerned with the existence and stability of nonlinear Volterra equations which have infinite delay and are of the form: $$x (\varphi ) (t) = W (t, \tau ) \varphi (0) + \int\limits_\tau ^t {W (t, s)} F(s,x_s (\varphi )) ds, x_\tau (\varphi ) = \varphi \in C_u .$$
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Approximate Controllability of Fractional Neutral Evolution Equations in Banach Spaces
Abstract and Applied Analysis, 2013 We discuss the approximate controllability of semilinear fractional neutral differential systems with infinite delay under the assumptions that the corresponding linear system is approximately controllable.
N. I. Mahmudov
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Stability of Distributed Delay System with Infinite Support [PDF]
2018 IEEE Conference on Decision and Control (CDC), 2018 This paper is devoted to the stability analysis of infinite distributed delay systems. The basic idea is to model the original time-delay system into an interconnected feedback system in order to use robust analysis and especially quadratic separation. This approach has been widely used to study classical pointwise time-delay system.
Ariba, Yassine +3 more
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Disordered but rhythmic—the role of intrinsic protein disorder in eukaryotic circadian timing
FEBS Letters, EarlyView.Unstructured domains known as intrinsically disordered regions (IDRs) are present in nearly every part of the eukaryotic core circadian oscillator. IDRs enable many diverse inter‐ and intramolecular interactions that support clock function. IDR conformations are highly tunable by post‐translational modifications and environmental conditions, which ...
Emery T. Usher, Jacqueline F. Pelham
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