Results 11 to 20 of about 77 (71)
Alienation of Drygas’ and Cauchy’s Functional Equations
Annales Mathematicae Silesianae, 2021 Inspired by the papers [2, 10] we will study, on 2-divisible groups that need not be abelian, the alienation problem between Drygas’ and the exponential Cauchy functional equations, which is expressed by the equation f(x+y)+g(x+y)g(x-y)=f(x)f(y)+2g(x)+g ...
Aissi Youssef +2 more
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Alienation of two general linear functional equations [PDF]
, 2020 We study the alienation problem for two general linear equations i.e. we compare the solutions of the system of equations n i=1 αif(pix + qiy) = 0 m j=1 βjg(sjx + tjy) = 0 with the solutions of the single equation n i=1 αif(pix + qiy) = m
Tomasz Szostok, Szostok, Tomasz
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A generalized sequential problem of Lane-Emden type via fractional calculus
Moroccan Journal of Pure and Applied Analysis, 2020 In this paper, we combine the Riemann-Liouville integral operator and Caputo derivative to investigate a nonlinear time-singular differential equation of Lane Emden type.
Gouari Yazid +2 more
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A system of additive functional equations in complex Banach algebras
Demonstratio Mathematica, 2023 In this article, we solve the system of additive functional equations: 2f(x+y)−g(x)=g(y),g(x+y)−2f(y−x)=4f(x)\left\{\phantom{\rule[-1.25em]{}{0ex}}\begin{array}{l}2f\left(x+y)-g\left(x)=g(y),\\ g\left(x+y)-2f(y-x)=4f\left(x)\end{array}\right.
Paokanta Siriluk +3 more
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New Stability Results of Multiplicative Inverse Quartic Functional Equations
, 2021 The purpose of this investigation is to introduce different forms of multiplicative inverse functional equations, to solve them and to establish the stability results of them in the framework of matrix normed spaces.
et. al., Beri V. Senthil Kumar,
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Nonlinear Random Differential Equations with n Sequential Fractional Derivatives
Moroccan Journal of Pure and Applied Analysis, 2022 This article deals with a solvability for a problem of random fractional differential equations with n sequential derivatives and nonlocal conditions.
Hafssa Yfrah, Dahmani Zoubir
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The additive approximation on a four‐variate Jensen‐type operator equation
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 50, Page 3171-3187, 2003., 2003 We study the Hyers‐Ulam stability theory of a four‐variate Jensen‐type functional equation by considering the approximate remainder ϕ and obtain the corresponding error formulas. We bring to light the close relation between the β‐homogeneity of the norm on F∗‐spaces and the approximate remainder ϕ, where we allow p, q, r, and s to be different in ...
Jian Wang
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On the stability of the quadratic mapping in normed spaces
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 4, Page 217-229, 2001., 2001 The Hyers‐Ulam stability, the Hyers‐Ulam‐Rassias stability, and also the stability in the spirit of Gavruţa for each of the following quadratic functional equations f(x + y) + f(x − y) = 2f(x) + 2f(y), f(x + y + z) + f(x − y) + f(y − z) + f(z − x) = 3f(x) + 3f(y) + 3f(z), f(x + y + z) + f(x) + f(y) + f(z) = f(x + y) + f(y + z) + f(z + x) are ...
Gwang Hui Kim
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Some discrete Poincaré‐type inequalities
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 7, Page 479-488, 2001., 2001 Some discrete analogue of Poincaré‐type integral inequalities involving many functions of many independent variables are established. These in turn can serve as generators of further interesting discrete inequalities.
Wing-Sum Cheung
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Fuzzy stabilities of a new hexic functional equation in various spaces
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 The advantage of various fuzzy normed spaces is to analyse impreciseness and ambiguity that arise in modelling problems. In this paper, various classical stabilities of a new hexic functional equation in di erent fuzzy spaces like fuzzy Banach space ...
Dutta Hemen +2 more
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