Results 151 to 160 of about 920,770 (191)

Holomorphic Solutions of a Functional Equation (Functional Equations and Complex Systems)

Holomorphic Solutions of a Functional Equation (Functional Equations and Complex Systems)
openaire  

Some of the next articles are maybe not open access.

Related searches:

Nondegenerate canonical solutions of one system of functional equations

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kyrov, V. A., Mikhailichenko, G. G.
openaire   +2 more sources

Systems of functional equations

Random Structures and Algorithms, 1997
In this paper ``functional equation'' is an equation of particular form from which an implicit unknown function is to be determined. To be exact, the author looks for analytic solutions (complex variables are written in italics, vector variables and vector valued functions with \(n\) complex components are set in bold face) \({\mathbf y}={\mathbf g}(x,{
openaire   +2 more sources

Constructive Solutions for Systems of Iterative Functional Equations

Constructive Approximation, 2016
This comprehensive paper studies the systems of iterative functional equations. Generally, they are of the following form. Let \(X,Y\) be nonempty sets and \(p\geq2\) an integer. For \(X_i\subset X\), \(\bigcup_{i=0}^{p-1}X_i=X\), \(W_i\subset X\) and given functions \(f_i: X_i\to W_i\) and \(F_i: X_i\times Y\to Y\) (\(i=0,1,\dots,p-1\)) we consider ...
Serpa, Cristina, Buescu, Jorge
openaire   +1 more source

Systems of functional equations and generalizations of certain functions

Aequationes mathematicae, 2021
In this article generalized Salem functions and a generalized shift operator are studied. The author studies a particular generalization of the shift operator which gives a series that generalizes the \(q\)-ary expansion of a number and models numeral systems with a variable alphabet.
openaire   +2 more sources

Analytic solutions of systems of functional equations

Applied Mathematics-A Journal of Chinese Universities, 2003
For a function \(f\) denote by \(f^n\) its \(n\)-th iterate. For a function \(H\) of \(n\) variables put \(\Psi _H (f)(z)=H(z,f(z), f^2(z),\dots,f^{n-1}(z)).\) The author studies a system of functional equations involving two functions \(f\) and \(g\) as well as the functions \(\Psi_{H_j}(f)\) and \(\Psi_{K_j}(g)\) with certain functions \(H_j\) and ...
openaire   +2 more sources

Periodic Solutions of the Systems of Nonlinear Functional Equations

Journal of Mathematical Sciences, 2014
The authors study the following system of nonlinear functional equations of the form \[ x(t) = F(t, x(q_1 t + f_1 (t, x(t))), \dots, x(q_k t + f_k (t, x(t)))), \tag{1} \] where \(F: \mathbb{R} \times \mathbb{R}^n \times \cdots \times \mathbb{R}^n \to \mathbb{R}^n\), \(f_i : \mathbb{R} \times \mathbb{R}^n \to \mathbb{R}\), and \(q_i\)'s are positive ...
Pelyukh, H. P., Syvak, O. A.
openaire   +2 more sources

On stability of nonlinear systems of functional differential equations

Applied Mathematics and Computation, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
El-Sheikh, M. M. A., Soliman, A. A.
openaire   +2 more sources