Results 11 to 20 of about 8,944,209 (378)
Functional tetrahedron equation [PDF]
Theoretical and Mathematical Physics, 1998 LaTeX, 16 ...
Igor G. Korepanov +2 more
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On a solution to a functional equation [PDF]
Journal of Applied Analysis, 2021 Abstract We offer a solution to a functional equation using properties of the Mellin transform. A new criteria for the Riemann Hypothesis is offered as an application of our main result, through a functional relationship with the Riemann xi function.
Patkowski, Alexander E
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Functional equations and martingales [PDF]
Aequationes mathematicae, 2021 We consider functional equations (Cauchy's, Abel's and some other functional equations) and show that to find general solution of these equations is equivalent to establish that a space-transformation of a Brownian Motion by suitable function (or functions) is a martingale.
M. Mania, L. Tikanadze
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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
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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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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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A functional RG equation for the c-function [PDF]
Journal of High Energy Physics, 2014 After showing how to prove the integrated c-theorem within the functional RG framework based on the effective average action, we derive an exact RG flow equation for Zamolodchikov's c-function in two dimensions by relating it to the flow of the effective average action.
Codello A, D'Odorico G, Pagani C
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Mahgoub transform and Hyers-Ulam stability of nth order linear differential equations
AIMS Mathematics, 2022 The main aim of this paper is to investigate various types of Hyers-Ulam stability of linear differential equations of $ n^{th} $ order with constant coefficients using the Mahgoub transform method.
S. Deepa +5 more
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On the Stability of the Linear Functional Equation.
Proceedings of the National Academy of Sciences of the United States of America, 1941 theory of q-difference equations to a comparable degree of completeness. This program includes in particular the complete theory of the convergence and divergence of formal series, the explicit determination of the essential transcendental invariants ...
D. H. Hyers
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Discrete Integrals Based on Comonotonic Modularity
Axioms, 2013 It is known that several discrete integrals, including the Choquet and Sugeno integrals, as well as some of their generalizations, are comonotonically modular functions.
Jean-Luc Marichal, Miguel Couceiro
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