Results 41 to 50 of about 203,110 (287)
Stability of Nonlinear Neutral Stochastic Functional Differential Equations
Neutral stochastic functional differential equations (NSFDEs) have recently been studied intensively. The well‐known conditions imposed for the existence and uniqueness and exponential stability of the global solution are the local Lipschitz condition and the linear growth condition.
Xue, Minggao, Zhou, Shaobo, Hu, Shigeng
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Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation
Protein pyrophosphorylation is an unusual signaling mechanism that was discovered two decades ago. It can be driven by inositol pyrophosphate messengers and influences various cellular processes. Herein, we summarize the research progress and challenges of this field, covering pathways found to be regulated by this posttranslational modification as ...
Sarah Lampe +3 more
wiley +1 more source
On a functional-differential equation of neutral type
In recent years much work has been done on functional-differential equations. The excellent texts of Bellman & Cooke [l] and Halanay [5], besides others, bear testimony to it. These equations were classified into three main categories (cf. Bellman & Cooke El]), th a is, equations with delay, of neutral t type and of advanced arguments. The last two are
Das, P.C, Parhi, N
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Structural and biochemical characterisations show that the planar cell polarity (PCP) protein Inturned harbours a unique PDZ‐like domain that does not bind canonical PDZ‐binding motifs (PBMs) like that of another PCP protein Vangl2. In contrast, the apical‐basal polarity protein Scribble contains four PDZ domains that bind Vangl2, but one PDZ domain ...
Stephan Wilmes +4 more
wiley +1 more source
Schauder’s fixed-point theorem in approximate controllability problems
The main objective of this article is to present the state of the art concerning approximate controllability of dynamic systems in infinite-dimensional spaces.
Babiarz Artur +2 more
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Tau acetylation at K331 has limited impact on tau pathology in vivo
We mapped tau post‐translational modifications in humanized MAPT knock‐in mice and in amyloid‐bearing double knock‐in mice. Acetylation within the repeat domain, particularly around K331, showed modest increases under amyloid pathology. To test functional relevance, we generated MAPTK331Q knock‐in mice.
Shoko Hashimoto +3 more
wiley +1 more source
Approximate controllability of neutral functional differential system with unbounded delay
We consider a class of control systems governed by the neutral functional differential equation with unbounded delay and study the approximate controllability of the system. An example is given to illustrate the result.
Jong Yeoul Park, Sang Nam Kang
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Meta‐transcriptome analysis identified FGF19 as a peptide enteroendocrine hormone associated with colorectal cancer prognosis. In vivo xenograft models showed release of FGF19 into the blood at levels that correlated with tumor volumes. Tumoral‐FGF19 altered murine liver metabolism through FGFR4, thereby reducing bile acid synthesis and increasing ...
Jordan M. Beardsley +5 more
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Functional differential equations of third order
In this paper, we consider the third-order neutral functional differential equation with distributed deviating arguments. We give sufficient conditions for the oscillatory behavior of this functional differential equation.
Tuncay Candan, Rajbir S. Dahiya
doaj
Optimal Control for Functional-Differential Equation of Neutral Type in BanachТ‘Т‘ Spaces
This paper examines an optimal control problem for a class of neutral-type functional-differential equations in Banach spaces, where the control objective relates to the boundary of the domain. Sufficient conditions on the coefficients are established to
O. V. Perehuda +3 more
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