Results 61 to 70 of about 2,398,627 (204)
The conditions of Hyers—Ulam—Rassias-stability of a set of equations
, 2017 Для семейства регуляризованных уравнений и семейства уравнений с причинным оператором получены достаточные условия Hyers—Ulam—Rassias-устойчивости.Для сімейства регуляризованих рівнянь і сімейства рівнянь з причинним оператором отримано достатні умови ...
Мартынюк, А.А.
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Journal of Mathematics, 2023 This paper aims to study the existence and uniqueness of the solution for nonlocal multiorder implicit differential equation involving Hilfer fractional derivative on unbounded domains a,∞,a≥0, in an applicable Banach space by utilizing the Banach ...
Sabri T. M. Thabet, Imed Kedim
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HYERS-ULAM-RASSIAS STABILITY OF A QUADRATIC FUNCTIONAL EQUATION
Bulletin of the Korean Mathematical Society, 2003 Let \(X\) and \(Y\) be real vector spaces. One of main theorems of this paper states that a function \(f: X\to Y\) satisfies the functional equation \[ n^2{n-2\choose k-2}\, f\Biggl({x_1+\cdots+ x_n\over n}\Biggr)+ {n-2\choose k-1}\,\sum^n_{i=1} f(x_i)= k^2 \sum_{1\leq ...
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Hyers–Ulam–Rassias Stability of Hermite’s Differential Equation
Mathematics, 2022 In this paper, we studied the Hyers–Ulam–Rassias stability of Hermite’s differential equation, using Pachpatte’s inequality. We compared our results with those obtained by Blaga et al. Our estimation for zx−yx, where z is an approximate solution and y is an exact solution of Hermite’s equation, was better than that obtained by the authors previously ...
Daniela Marian +2 more
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International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.In this paper, we study algebraic structures associated with homomorphisms and derivations, which play a significant role in physics and engineering. Our main focus is on the Ulam–Hyers stability of homomorphism and derivation structures related to a class of two‐dimensional additive–quadratic functional equations in C∗‐ternary algebras.
Javad Shokri, Shikha Binwal
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Hyers- Ulam Rassias Stability of Exponential Primitive Mapping [PDF]
, 2013 The aim of this paper is to prove the stability of Exponential Primitive Mapping in sprit of Hyers- Ulam- Rassias. Keywords . Hyers- Ulam Rassias Stability, Exponential Primitive Mapping. AMS Subject Classification (1991).
Shrivastava, Kavita
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International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.In this paper, we introduce a new concept called mixed 3D‐Jensen and additive functional equations FEs. In the following, we demonstrate that they are additive mappings and we show that they can be C‐linear. After that, we define triple homoderivations under the above condition on triple Banach algebras (TBAs).
Iman Bahreini +2 more
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Hyers- Ulam Rassias Stability of multiplicative Cauchy equation [PDF]
, 2015 The aim of this paper is to prove the stability of multiplicative equation in sprit of Hyers- Ulam- Rassias. Keywords . Hyers- Ulam Rassias Stability, multiplicative equation AMS Subject Classification (1991).
Shrivastava, Kavita
core
On stability for nonlinear implicit fractional differential equations
Le Matematiche, 2015 The purpose of this paper is to establish some types of Ulam stability: Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for a class of implicit fractional-order ...
Mouffak Benchohra, Jamal E. Lazreg
doaj
On the Hyers–Ulam–Rassias Stability of Approximately Additive Mappings
Journal of Mathematical Analysis and Applications, 1996 The article contains another generalization of the classical Hyers solution to the Ulam problem on approximately additive mappings. The author vaguely indicates independent proves of his result in the articles by P. Găvrută with coathors.
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