Results 61 to 70 of about 2,555,203 (372)
Marachkov type stability results for functional differential equations
Electronic 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
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Continuous Time Channels with Interference [PDF]
, 2012 Khanna and Sudan \cite{KS11} studied a natural model of continuous time channels where signals are corrupted by the effects of both noise and delay, and showed that, surprisingly, in some cases both are not enough to prevent such channels from achieving ...
Ivan, Ioana +3 more
core +4 more sources
Uniform Asymptotic Stability in Infinite Delay Systems
Journal of Mathematical Analysis and Applications, 1993 Using the technique of Lyapunov functionals, the author derives conditions for uniform asymptotic stability of infinite delay functional differential systems of the type \(x'(t)= f(t,x_ t)\), where \(x(t)\in \mathbb{R}^ n\) and \(x_ t(s)= x(t+ s)\), \(s\leq 0\).
openaire +2 more sources
The newfound relationship between extrachromosomal DNAs and excised signal circles
FEBS Letters, EarlyView.Extrachromosomal DNAs (ecDNAs) contribute to the progression of many human cancers. In addition, circular DNA by‐products of V(D)J recombination, excised signal circles (ESCs), have roles in cancer progression but have largely been overlooked. In this Review, we explore the roles of ecDNAs and ESCs in cancer development, and highlight why these ...
Dylan Casey, Zeqian Gao, Joan Boyes
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Global convergence of successive approximations of the Darboux problem for partial functional differential equations with infinite delay [PDF]
Opuscula 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
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Variable-delay feedback control of unstable steady states in retarded time-delayed systems
, 2010 We study the stability of unstable steady states in scalar retarded time-delayed systems subjected to a variable-delay feedback control. The important aspect of such a control problem is that time-delayed systems are already infinite-dimensional before ...
A. Bellen +7 more
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Repellers in systems with infinite delay
Journal of Mathematical Analysis and Applications, 1989 A very important model for the interaction of species is a set of autonomous functional differential equations \[ (*)\quad x'(t)=f(x_ t),\quad t\geq 0, \] where x: \({\mathbb{R}}\to {\mathbb{R}}^ n\) and \(x_ t\) is defined for \(t\geq 0\) by \(x_ t(s)=x(t+s)\) for \(-\infty
Burton, T., Hutson, V.
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In situ molecular organization and heterogeneity of the Legionella Dot/Icm T4SS
FEBS Letters, EarlyView.We present a nearly complete in situ model of the Legionella Dot/Icm type IV secretion system, revealing its central secretion channel and identifying new components. Using cryo‐electron tomography with AI‐based modeling, our work highlights the structure, variability, and mechanism of this complex nanomachine, advancing understanding of bacterial ...
Przemysław Dutka +11 more
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Complexity, 2020 This paper deals with stochastically globally exponential stability (SGES) for stochastic impulsive differential systems (SIDSs) with discrete delays (DDs) and infinite distributed delays (IDDs).
Xiaoyan Liu, Quanxin Zhu
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FEBS Letters, EarlyView.At low cell density, SETDB1 and YAP1 accumulate in the nucleus. As cell density increases, the Hippo pathway is gradually activated, and SETDB1 is associated with increased YAP1 phosphorylation. At high cell density, phosphorylated YAP1 is sequestered in the cytoplasm, while SETDB1 becomes polyubiquitinated and degraded by the ubiquitin–proteasome ...
Jaemin Eom +3 more
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