Results 31 to 40 of about 864,943 (329)
Electronic Journal of Qualitative Theory of Differential Equations, 2017 In this paper we analyze the existence of bounded solutions for a nonlinear second-order neutral difference equation, which is more general than other equations of this type studied recently.
Gonzalo García
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CRITERIA FOR STABILITY OF VOLTERRA DIFFERENCE EQUATIONS
Bulletin of the South Ural State University series "Mathematics. Mechanics. Physics", 2020 Summary: Continuous and discrete Volterra-type difference equations arise in many applications. In particular, when studying models of population dynamics, modeling various economic or physical processes, in management theory, and medicine. The paper deals with the problem of asymptotic stability of the zero solution of a linear difference equation of ...
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Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Introduction Pre‐dilution online hemodiafiltration (Pre‐HDF) is predominantly used in Japan, whereas post‐dilution online HDF (Post‐HDF) is more common in Europe. An asymmetric cellulose triacetate (ATA) membrane may improve biocompatibility.
Kenji Sakurai +4 more
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Halanay type inequalities on time scales with applications
, 2011 This paper aims to introduce Halanay type inequalities on time scales. By means of these inequalities we derive new global stability conditions for nonlinear dynamic equations on time scales. Giving several examples we show that beside generalization and
Adıvar, Murat, Bohner, Elvan Akın
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Mapping the evolution of mitochondrial complex I through structural variation
FEBS Letters, EarlyView.Respiratory complex I (CI) is crucial for bioenergetic metabolism in many prokaryotes and eukaryotes. It is composed of a conserved set of core subunits and additional accessory subunits that vary depending on the organism. Here, we categorize CI subunits from available structures to map the evolution of CI across eukaryotes. Respiratory complex I (CI)
Dong‐Woo Shin +2 more
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Global asymptotic stability of solutions of cubic stochastic difference equations
Advances in Difference Equations, 2004 Global almost sure asymptotic stability of solutions of some nonlinear stochastic difference equations with cubic-type main part in their drift and diffusive part driven by square-integrable martingale differences is proven under appropriate conditions ...
Schurz Henri, Rodkina Alexandra
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Stability of abstract difference equations
Mathematical and Computer Modelling, 2002 Let \(M\) be a closed subspace of \(\ell ^\infty (J,X)\), the space of all bounded sequences \(\{x_n\}_{n\in J}\subset X\) where \(J\in \{\mathbb Z^+,\mathbb Z\}\) and \(X\) is a complex Banach space. Consider the operator difference equation \(u(n+1)=Au(n)+\psi(n)\), where \(\psi \in \ell ^\infty (\mathbb Z,X)\) such that the restriction \(\psi |_J ...
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Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation
FEBS Letters, EarlyView.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
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On the Stability of Volterra Difference Equations of Convolution Type
Trends in Computational and Applied Mathematics, 2018 In \cite{Elaydi-10}, S.\ Elaydi obtained a characterization of the stability of the null solution of the Volterra difference equation \beqae x_n=\sum_{i=0}^{n-1} a_{n-i} x_i\textrm{,}\quad n\geq 1\textrm{,} \eeqae by localizing the roots of its ...
Higidio Portillo Oquendo +2 more
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Sequence determinants of RNA G‐quadruplex unfolding by Arg‐rich regions
FEBS Letters, EarlyView.We show that Arg‐rich peptides selectively unfold RNA G‐quadruplexes, but not RNA stem‐loops or DNA/RNA duplexes. This length‐dependent activity is inhibited by acidic residues and is conserved among SR and SR‐related proteins (SRSF1, SRSF3, SRSF9, U1‐70K, and U2AF1).
Naiduwadura Ivon Upekala De Silva +10 more
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