Results 1 to 10 of about 1,776,451 (338)
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
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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
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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
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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
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AIMS Mathematics, 2021 The aim of this paper is to introduce the notion of Suzuki type multivalued contraction with simulation functions and then to set up some new fixed point and data dependence results for these type of contraction mappings. We produce an example to support
Azhar Hussain +3 more
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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
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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.
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Minimum functional equation and some Pexider-type functional equation on any group
AIMS Mathematics, 2021 We discuss the solution to the minimum functional equation $ \begin{align} \min \{\, \eta(xy^{-1}), \eta(xy) \, \} = \eta(x)\eta(y), \qquad x, y \in G, \end{align} $ for a real-valued function $ \eta: G \to \mathbb{R} $ defined on arbitrary ...
Muhammad Sarfraz, Yongjin Li
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An Analytical and Numerical Detour for the Riemann Hypothesis
Information, 2021 From the functional equation F(s)=F(1−s) of Riemann’s zeta function, this article gives new insight into Hadamard’s product formula. The function S1(s)=d(lnF(s))/ds and its family of associated Sm functions, expressed as a sum of rational fractions, are ...
Michel Riguidel
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Schwinger-Dyson approach to Liouville Field Theory [PDF]
, 2015 We discuss Liouville field theory in the framework of Schwinger-Dyson approach and derive a functional equation for the three-point structure constant.
Dutta, Parikshit
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