Results 11 to 20 of about 10,296,479 (327)
Functional tetrahedron equation [PDF]
Theoretical and Mathematical Physics, 1998 LaTeX, 16 ...
Kashaev, R. M. +2 more
openaire +5 more sources
Stability of a quartic functional equation. [PDF]
ScientificWorldJournal, 2014 We obtain the general solution of the generalized quartic functional equation f(x + my) + f(x − my) = 2(7m − 9)(m − 1)f(x) + 2m 2(m 2 − 1)f(y)−(m − 1)2 f(2x) + m 2{f(x + y) + f(x − y)} for a fixed positive integer m. We prove the Hyers-Ulam stability for
Bodaghi A.
europepmc +2 more sources
On the functional equation for classical orthogonal polynomials on lattices [PDF]
Journal of Mathematical Analysis and Applications, 2021 Necessary and sufficient conditions for the regularity of solutions of the functional equation appearing in the theory of classical orthogonal polynomials on lattices are stated.
K. Castillo, D. Mbouna, J. Petronilho
semanticscholar +1 more source
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
On Ulam Stability of a Functional Equation
Results in Mathematics, 2020 In this note, we study the Ulam stability of a functional equation both in Banach and m-Banach spaces. Particular cases of this equation are, among others, equations which characterize multi-additive and multi-Jensen functions.
K. Ciepliński
semanticscholar +1 more source