Results 21 to 30 of about 1,105,937 (292)

Approximation of the Fixed Point of the Product of Two Operators in Banach Algebras with Applications to Some Functional Equations

Mathematics, 2022
Making use of the Boyd-Wong fixed point theorem, we establish a new existence and uniqueness result and an approximation process of the fixed point for the product of two nonlinear operators in Banach algebras. This provides an adequate tool for deriving
Khaled Ben Amara, Maria Isabel Berenguer, Aref Jeribi   +2 more
doaj   +1 more source

Enumerating alternating tree families [PDF]

Discrete Mathematics & Theoretical Computer Science, 2008
We study two enumeration problems for $\textit{up-down alternating trees}$, i.e., rooted labelled trees $T$, where the labels $ v_1, v_2, v_3, \ldots$ on every path starting at the root of $T$ satisfy $v_1 < v_2 > v_3 < v_4 > \cdots$.
Markus Kuba, Alois Panholzer
doaj   +1 more source

On the origin of quantum mechanics [PDF]

, 2005
Action at distance in Newtonian physics is replaced by finite propagation speeds in classical post--Newtonian physics. As a result, the differential equations of motion in Newtonian physics are replaced by functional differential equations, where the ...
Bohr, Born, Chicone, Chicone, Chicone, Chicone, Dirac, Einstein, El Naschie, El Naschie, El Naschie, Ford, Giné, Heisenberg, Hess, Hess, Jaume Giné, Landau, Michelson, Michelson, Nottale, Ord, Planck, Poincaré, Poincaré, Poincaré, Poincaré, Raju, Raju, Rutherford, Schrödinger, Schrödinger, Schrödinger, Sommerfeld, Sommerfeld, Svozil, van der Meer, ’t Hooft, ’t Hooft   +38 more
core   +1 more source

Inequalities for Information Potentials and Entropies

Mathematics, 2020
We consider a probability distribution p0(x),p1(x),… depending on a real parameter x. The associated information potential is S(x):=∑kpk2(x). The Rényi entropy and the Tsallis entropy of order 2 can be expressed as R(x)=−logS(x) and T(x)=1−S(x).
Ana Maria Acu, Alexandra Măduţa, Diana Otrocol, Ioan Raşa   +3 more
doaj   +1 more source

Independence Characterization for Wishart and Kummer Random Matrices

Revstat Statistical Journal, 2020
We generalize the following univariate characterization of the Kummer and Gamma distributions to the cone of symmetric positive definite matrices: let X and Y be independent, non-degenerate random variables valued in (0,∞), then U = Y /(1 +X) and V = X ...
Bartosz Ko lodziejek , Agnieszka Piliszek   +1 more
doaj   +1 more source

Functional representation of the negative AKNS hierarchy [PDF]

, 2012
This paper is devoted to the negative flows of the AKNS hierarchy. The main result of this work is the functional representation of the extended AKNS hierarchy, composed of both positive (classical) and negative flows.
Vekslerchik, V. E.
core   +1 more source

Generating Functions for New Families of Combinatorial Numbers and Polynomials: Approach to Poisson–Charlier Polynomials and Probability Distribution Function

Axioms, 2019
The aim of this paper is to construct generating functions for new families of combinatorial numbers and polynomials. By using these generating functions with their functional and differential equations, we not only investigate properties of these new ...
Irem Kucukoglu, Burcin Simsek, Yilmaz Simsek   +2 more
doaj   +1 more source

Introduction to discrete functional analysis techniques for the numerical study of diffusion equations with irregular data [PDF]

, 2015
We give an introduction to discrete functional analysis techniques for stationary and transient diffusion equations. We show how these techniques are used to establish the convergence of various numerical schemes without assuming non-physical regularity ...
Droniou, Jerome
core   +3 more sources

System of delay difference equations with continuous time with lag function between two known functions

Electronic Journal of Qualitative Theory of Differential Equations, 2016
The asymptotic behavior of solutions of the system of difference equations with continuous time and lag function between two known real functions is studied.
Hajnalka Péics, Andrea Rožnjik, Valeria Pinter Krekić, Márta Takács   +3 more
doaj   +1 more source

ON A COMPOSITE FUNCTIONAL EQUATION

Demonstratio Mathematica, 2003
The composite functional equation \[ f(xG(f(x))) = f(x)G(f(x)), \quad x \in \mathbb R_+,\tag{1} \] is considered. \textit{P. Kahlig}, \textit{A. Matkowska} and \textit{J. Matkowski} [Aequationes Math. 52, 260--283 (1996; Zbl 0861.39013)] dealt with the special case: \(G(u) = u^p\). Here the continuous solutions \(f: \mathbb R_+ \to \mathbb R_+\) of (1)
Matkowski, Janusz, Okrzesik, Jolanta
openaire   +3 more sources