Results 1 to 10 of about 1,793,700 (285)
Functional Tetrahedron Equation [PDF]
Theoretical and Mathematical Physics, 1998 We describe a scheme of constructing classical integrable models in 2+1-dimensional discrete space-time, based on the functional tetrahedron equation - equation that makes manifest the symmetries of a model in local form.
I. G. Korepanov +7 more
core +4 more sources
On the Stability of Mixed Additive--Quadratic and Additive--Drygas Functional Equations [PDF]
Sahand Communications in Mathematical Analysis, 2021 In this paper, we have improved some of the results in [C. Choi and B. Lee, Stability of Mixed Additive-Quadratic and Additive--Drygas Functional Equations. Results Math. 75 no. 1 (2020), Paper No. 38].
Abbas Najati +2 more
doaj +1 more source
On Two Problems Related to Divisibility Properties of z(n)
Mathematics, 2021 The order of appearance (in the Fibonacci sequence) function z:Z≥1→Z≥1 is an arithmetic function defined for a positive integer n as z(n)=min{k≥1:Fk≡0(modn)}. A topic of great interest is to study the Diophantine properties of this function. In 1992, Sun
Pavel Trojovský
doaj +1 more source
Extensions of solutions of a functional equation in two variables [PDF]
Opuscula Mathematica, 2009 An extension theorem for the functional equation of several variables \[f(M(x,y))=N(f(x),f(y)),\] where the given functions \(M\) and \(N\) are left-side autodistributive, is presented.
Janusz Matkowski
doaj +1 more source
A Parametric Functional Equation Originating from Number Theory
Annales Mathematicae Silesianae, 2022 Let S be a semigroup and α, β ∈ ℝ. The purpose of this paper is to determine the general solution f : ℝ2 → S of the following parametric functional equation f(x1+x2+αy1y2,x1y2+x2y1+βy1y2)=f(x1,y1)f(x2,y2),f\left( {{x_1} + {x_2} + \alpha {y_1}{y_2},{x_1 ...
Mouzoun Aziz +2 more
doaj +1 more source
Nonoscillatory functional-differential equations [PDF]
Pacific Journal of Mathematics, 1984 Our aim in this paper is to obtain sufficient conditions under which certain functional differential equations have a " large" number of nonoscillatory solutions. Using the characteristic equation of a "majorant" delay differential equation with constant coefficients and Schauder's fixed point theorem, we obtain conditions under which the functional ...
Ladas, G. +2 more
openaire +4 more sources
On extension of solutions of a simultaneous system of iterative functional equations [PDF]
Opuscula Mathematica, 2009 Some sufficient conditions which allow to extend every local solution of a simultaneous system of equations in a single variable of the form \[ \varphi(x) = h (x, \varphi[f_1(x)],\ldots,\varphi[f_m(x)]),\] \[\varphi(x) = H (x, \varphi[F_1(x)],\ldots ...
Janusz Matkowski
doaj +1 more source
Об одной нелокальной краевой задаче для модельного нелокального уравнения гиперболического типа
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2022 В работе проводится исследование задачи с внутренне-краевым нехарактеристическим смещением для модельного существенно нагруженного уравнения гиперболического типа второго порядка с двумя независимыми переменными.
Аттаев, А.Х.
doaj +1 more source
Functional Callan–Symanzik Equations [PDF]
Annals of Physics, 2001 17 pages, to appear in Annals of ...
Alexandre, Jean, Polonyi, Janos
openaire +5 more sources
The European Physical Journal C, 2023 AbstractWe wonder if there is a way to make all Schur functions in all representations equal. This is impossible for fixed value of time variables, but can be achieved for averages. It appears that the corresponding measure is just Gaussian in times, which are all independent.
openaire +3 more sources