Results 41 to 50 of about 2,398,519 (163)
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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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
wiley +1 more source
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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Study on Approximate C∗‐Bimultiplier and JC∗‐Bimultiplier in C∗‐Ternary Algebra
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.An additive‐quadratic mapping F:A×A⟶B is one that adheres to the following equations: Fr+s,t=Fr,t+Fs,t,Fr,s+t+Fr,s−t=22Fr,s+Fr,t. This paper leverages the fixed‐point method to investigate C∗‐bimultiplier and JC∗‐bimultiplier approximations on C∗‐ternary algebras. The focus is on the additive‐quadratic functional equation: Fr+s,t+u+Fr+s,t−u=2222Fr,t+Fr,
Mina Mohammadi +3 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
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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 Approximations of a System of Functional Equations Having Monomials
Journal of Function Spaces, Volume 2026, Issue 1, 2026.We use an s‐monomial to define the multimonomial mappings as a system of functional equations having monomials. The main contribution of the paper is twofold. First, we give a representation of such new multiple variable mappings as a unified equation, thereby providing a complete characterization.
Siriluk Donganont +2 more
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Journal of Function Spaces, Volume 2026, Issue 1, 2026.This paper investigates a class of nonlinear implicit neutral integrodifferential equations involving Hilfer–Katugampola fractional operators, which provide an effective framework for describing dynamical systems with memory and hereditary properties. By converting the considered problem into an equivalent fractional integral equation, we show that the
Manal Elzain Mohamed Abdalla +3 more
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Demonstratio MathematicaIn this article, we apply the Fourier transform to prove the Hyers-Ulam and Hyers-Ulam-Rassias stability for the first- and second-order nonlinear differential equations with initial conditions.
Selvam Arunachalam +2 more
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