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Near-equational and equational systems of logic for partial functions. II

The Journal of Symbolic Logic, 1989
For the reader's convenience, we begin Part II by restating the rules for constructing Sq derivations given in §2:We let R be the set of 14 rules for Sq, R* the set of pure *-rules in R, R≃ the set of pure ≃-rules in R, and R− the set R ∩ − {Exs≃}. The closure of any F ⊆ Sq under R will be denoted by csRF, and the direct image of F under Cut*, for ...
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Stability in System of Impulsive Neutral Functional Differential Equations

Mediterranean Journal of Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Analytic solutions of systems of functional equations

Ukrainian Mathematical Journal, 1991
The analytic properties of integral manifolds of systems of difference equations are studied. Analytic solutions of systems of functional equations are determined in the form of power series expansions.
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Continuous Solutions of Systems of Linear Difference-Functional Equations

Journal of Mathematical Sciences, 2015
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Matrix Functions and Systems of Differential Equations

2015
In this chapter we give an introduction to the area of matrix functions. We first define general matrix functions and derive their most important properties. Using the examples of network analysis and chemical reactions, we illustrate how matrix functions arise naturally in applications. The network analysis example involves the exponential function of
Jörg Liesen, Volker Mehrmann
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A remarkable system of eight functional equations

Aequationes mathematicae, 1999
If \(\varphi:\mathbb R \to \mathbb R\) is continuous, \(1\)-periodic and even with respect to \(0\) and to \(1/2\), then the function \[ F_{\varphi}(x)=\sum_{k=0}^{+\infty} 2^{-k} \varphi(2^kx) \] satisfies a system \(\Omega\) of eight functional equations.
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Semicontinuous solutions of systems of functional equations.

2004
The author considers the functional equation \[ F(\omega,u(\omega),u(g_1(\omega)),\dots,u(g_m(\omega)))=0 \leqno(1) \] where \(\omega \in \Omega\), \(\Omega\) metrizable topological space, \(g_j:\Omega \to \Omega\) (\(j=1,\dots,m\)) are given continuous functions, \(F:\Omega \times \mathbb R^{(1+m)n} \to \mathbb R^n\) and \(u\) is the unknown function.
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On Singular Systems of Parabolic Functional Equations

2011
We consider systems consisting of an initial-boundary value problem for second-order quasilinear parabolic equation and an initial value problem for first-order ordinary differential equation where both equations contain functional dependence on the unknown functions.
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SARS-CoV-2 variants, spike mutations and immune escape

Nature Reviews Microbiology, 2021
William T Harvey   +2 more
exaly  

Mechanics and functional consequences of nuclear deformations

Nature Reviews Molecular Cell Biology, 2022
Andrew D Stephens   +2 more
exaly  

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