Results 1 to 10 of about 8,944,209 (378)
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.
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A general functional equation [PDF]
Transactions of the American Mathematical Society, 1957 J. H. B. Kemperman
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On a functional equation [PDF]
Bulletin of the American Mathematical Society, 1912 A. Schweitzer
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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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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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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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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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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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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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ON A FUNCTIONAL EQUATION [PDF]
The Quarterly Journal of Mathematics, 1958 We have recently discussed in (1) the general solution of a certain functional equation arising in statistical thermodynamics, and we propose in this note to deal with another functional equation arising from the same source(2).The problem is to obtain the most general function f(x) which, for all positive integral values of m, n, satifies the ...
J. McLeod, T. W. Chaundy
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