Results 81 to 90 of about 3,612 (180)
Stability and Superstability of a Linear Functional Equation on Restricted Domains
Journal of Function Spaces, Volume 2026, Issue 1, 2026.This paper investigates the Hyers–Ulam stability and superstability of the functional equation f(x2 + yf(z)) = xf(x) + zf(y) for real‐valued functions f : R⟶R on some restricted subsets of R.
Abbas Najati +3 more
wiley +1 more source
On the Hyers-Ulam Stability of a System of Euler Dierential Equations of First Order
, 2016 [[abstract]]In this paper, we prove the Hyers-Ulam stability of a special type of systems of Euler dierential equations of rst ...
Byungbae Kim +2 more
core
On the Stability of Fractional Integro‐Differential Equations of Ψ‐Hilfer Type
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this article, we investigate some properties such as the existence, uniqueness, and Ulam–Hyers–Rassias stability for the fractional Volterra–Fredholm integrodifferential equations of Ψ‐Hilfer type with boundary conditions. We prove the desired results by using the Banach fixed point theorem and the Schauder fixed point theorem.
Malayin A. Mohammed +3 more
wiley +1 more source
On the Stability of Nonautonomous Linear Impulsive Differential Equations
Journal of Function Spaces and Applications, 2013 We introduce two Ulam's type stability concepts for nonautonomous linear impulsive ordinary differential equations. Ulam-Hyers and Ulam-Hyers-Rassias stability results on compact and unbounded intervals are presented, respectively.
JinRong Wang, Xuezhu Li
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Mathematics, 2020 In this paper, we study Hyers–Ulam and Hyers–Ulam–Rassias stability of nonlinear Caputo–Fabrizio fractional differential equations on a noncompact interval. We extend the corresponding uniqueness and stability results on a compact interval.
Kui Liu, Michal Fečkan, JinRong Wang
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Hyers-Ulam Stability of the First-Order Matrix Differential Equations [PDF]
, 2015 We prove the generalized Hyers-Ulam stability of the first-order linear homogeneous matrix differential equations y→'(t)=A(t)y→(t). Moreover, we apply this result to prove the generalized Hyers-Ulam stability of the nth order linear differential ...
Soon-Mo Jung
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This study investigates a category of high‐order sequential fractional boundary value problems involving four‐term fractional derivatives. Motivated by the nonlocal properties of fractional calculus and the limitations of available models with fewer derivatives, the solutions of a novel four‐term sequential fractional differential equation under hybrid
Debao Yan, Pramita Mishra
wiley +1 more source
On a general Hyers-Ulam stability result [PDF]
, 1995 In this paper, we prove two general theorems about Hyers-Ulam stability of functional equations. As particular cases we obtain many of the results published in the last ten years on the stability of the Cauchy and quadratic ...
Gian Luigi Forti, Costanz Borelli
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Ulam–Hyers stability and exponentially dichotomic equations in Banach spaces
, 2023 For finite-dimensional linear differential systems with bounded coefficients, we prove that their exponential dichotomy on $\mathbb{R}$ is equivalent to their Ulam–Hyers stability on $\mathbb{R}$ with uniqueness. We also consider abstract non-autonomous
Buică, Adriana, Adriana Buică
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Stability in the Sense of Hyers–Ulam–Rassias for the Impulsive Volterra Equation
Fractal and FractionalThis article aims to use various fixed-point techniques to study the stability issue of the impulsive Volterra integral equation in the sense of Ulam–Hyers (sometimes known as Hyers–Ulam) and Hyers–Ulam–Rassias.
El-sayed El-hady +3 more
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