Results 1 to 10 of about 349 (66)
Stability of an additive-quadratic-quartic functional equation
Demonstratio Mathematica, 2020 In this paper, we investigate the stability of an additive-quadratic-quartic functional ...
Kim Gwang Hui, Lee Yang-Hi
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Demonstratio Mathematica, 2023 This article presents the general solution f:G→Vf:{\mathcal{G}}\to {\mathcal{V}} of the following functional equation: f(x)−4f(x+y)+6f(x+2y)−4f(x+3y)+f(x+4y)=0,x,y∈G,f\left(x)-4f\left(x+y)+6f\left(x+2y)-4f\left(x+3y)+f\left(x+4y)=0,\hspace{1.0em}x,y\in {\
Park Choonkil +4 more
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Hyers-Ulam stability of isometries on bounded domains
Open Mathematics, 2021 More than 20 years after Fickett attempted to prove the Hyers-Ulam stability of isometries defined on bounded subsets of Rn{{\mathbb{R}}}^{n} in 1981, Alestalo et al. [Isometric approximation, Israel J. Math.
Jung Soon-Mo
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Approximate modularity: Kalton's constant is not smaller than 3 [PDF]
, 2020 Kalton and Roberts [Trans. Amer. Math. Soc., 278 (1983), 803--816] proved that there exists a universal constant $K\leqslant 44.5$ such that for every set algebra $\mathcal{F}$ and every 1-additive function $f\colon \mathcal{F}\to \mathbb R$ there exists
Gnacik, Michal +2 more
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Hyers-Ulam-Rassias Stability of Generalized Derivations [PDF]
, 2006 The generalized Hyers--Ulam--Rassias stability of generalized derivations on unital Banach algebras into Banach bimodules is established.Comment: 9 pages, minor changes, to appear in Internat. J. Math.
Moslehian, Mohammad Sal
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Open Mathematics, 2020 In Applied Mathematics Letters 74 (2017), 147–153, the Hyers-Ulam stability of the one-dimensional time-independent Schrödinger equation was investigated when the relevant system has a potential well of finite depth. As a continuous work,
Jung Soon-Mo, Choi Ginkyu
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Stability of a functional equation deriving from cubic and quartic functions [PDF]
, 2008 In this paper, we obtain the general solution and the generalized Ulam-Hyers stability of the cubic and quartic functional equation &4(f(3x+y)+f(3x-y))=-12(f(x+y)+f(x-y)) &+12(f(2x+y)+f(2x-y))-8f(y)-192f(x)+f(2y)+30f(2x)
Ebadian, A. +2 more
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Approximate multi-variable bi-Jensen-type mappings
Demonstratio Mathematica, 2023 In this study, we obtained the stability of the multi-variable bi-Jensen-type functional equation: n2fx1+⋯+xnn,y1+⋯+ynn=∑i=1n∑j=1nf(xi,yj).{n}^{2}f\left(\frac{{x}_{1}+\cdots +{x}_{n}}{n},\frac{{y}_{1}+\cdots +{y}_{n}}{n}\right)=\mathop{\sum }\limits_{i=1}
Bae Jae-Hyeong, Park Won-Gil
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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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Shehu Integral Transform and Hyers-Ulam Stability of nth order Linear Differential Equations
Scientific African, 2022 In this paper, we establish the Shehu transform expression for homogeneous and non-homogeneous linear differential equations. With the help of this new integral transform, we solve higher order linear differential equations in the Shehu sense.
Vediyappan Govindan +5 more
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