Results 1 to 10 of about 10,296,479 (327)
Steklov Type Operators and Functional Equations
Annales Mathematicae SilesianaeWe consider sequences of Steklov type operators and an associated functional equation. For a suitable sequence, we establish asymptotic formulas.
Motronea Gabriela +2 more
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Variants of the functional equation of Cauchy
Lietuvos Matematikos Rinkinys, 2004 In this paper solution of the Cauchy functional equation and variants of it are considered.
Juozas Mačys
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On the superstability of the cosine and sine type functional equations
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2016 In this paper, We study the superstablity problem of the cosine and sine type functional equations: f(xσ(y)a)+f(xya)=2f(x)f(y) and f(xσ(y)a)-f(xya)=2f(x)f(y), where f:S → C is a complex valued function; S is a semigroup; σ is an involution of
Fouad Lehlou +3 more
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The approximate functional equation of some Diophantine series. [PDF]
Mon Hefte Math, 2023 Chamizo F, Martin B.
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Solution and Stability of the Multiquadratic Functional Equation
, 2013 We consider the multiquadratic functional equation. We establish its general solution and provide a characterization for this functional equation. Finally, we prove the Hyers-Ulam-Rassias stability of this functional equation.
Xiaopeng Zhao +2 more
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Hyperstability of the Drygas Functional Equation
, 2013 We use the fixed point theorem for functional spaces to obtain the hyperstability result for the Drygas functional equation on a restricted domain. Namely, we show that a function satisfying the Drygas equation approximately must be exactly the solution ...
M. Piszczek, J. Szczawińska
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Renormalization group functional equations
Physical Review D, 2011 Functional conjugation methods are used to analyze the global structure of various renormalization group trajectories, and to gain insight into the interplay between continuous and discrete rescaling. With minimal assumptions, the methods produce continuous flows from step-scaling functions, and lead to exact functional relations for the local flow
Curtright, Thomas L., Zachos, Cosmas K.
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On Ulam Stability of the Davison Functional Equation in m-Banach Spaces
AxiomsWe prove new Ulam stability results for the Davison functional equation, in the class of mappings h from a ring F into an m-Banach space. In this way, we complement several earlier outcomes, by extending them to the case of m-normed spaces.
El-sayed El-hady, Janusz Brzdęk
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Cauchy type functional equations related to some associative rational functions
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2019 L. Losonczi [4] determined local solutions of the generalized Cauchy equation f(F(x, y))= f(x) + f(y) on components of the denition of a given associative rational function F. The class of the associative rational function was described by A. Chéritat [1]
Katarzyna Domańska
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A Certain Functional Equation [PDF]
Results in Mathematics, 1998 By a simpler argument than that used by \textit{H. Haruki} [Aequationes Math. 36, No. 1, 1-19 (1988; Zbl 0656.39004)], the author determines all entire functions \(f\), \(g\), \(h\) and \(k\) satisfying the functional equation \(|f(z+ w)|+|g(z- w)|= |h(z+ w)|+ |k(z- w)|\).
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