Results 91 to 100 of about 4,940 (143)

Stability of generalized Newton difference equations

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012
In the paper we discuss a stability in the sense of the generalized Hyers-Ulam-Rassias for functional equations Δn(p, c)φ(x) = h(x), which is called generalized Newton difference equations, and give a sufficient condition of the generalized Hyers-Ulam ...
Wang Zhihua, Shi Yong-Guo
doaj   +1 more source

Existence of Positive Solutions for Implicit Caputo Fractional Problems With Integral Boundary Condition

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
This paper investigates positive solutions for an implicit Caputo fractional boundary value problem of order 0 < ν < 1 on [0, T] with a nonlocal integral boundary condition. By reformulating the problem as an equivalent nonlinear Volterra integral equation, an associated operator on C([0, T], ℝ) is defined, and fixed‐point theory in a cone is employed.
Ngo Ngoc Hung, Youssri Hassan Youssri
wiley   +1 more source

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, Mohammad Amin Tareeghee, Themistocles M. Rassias, Arnab Biswas   +3 more
wiley   +1 more source

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, Sahar M. A. Maqbol, Ram G. Metkar, Udhayakumar Ramalingam   +3 more
wiley   +1 more source

Representation of Multilinear Mappings and s‐Functional Inequality

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In the current research, we introduce the multilinear mappings and represent the multilinear mappings as a unified equation. Moreover, by applying the known direct (Hyers) manner, we establish the stability (in the sense of Hyers, Rassias, and Găvruţa) of the multilinear mappings, associated with the single multiadditive functional inequality.
Abasalt Bodaghi, Pramita Mishra
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
doaj   +1 more source

Hyers–Ulam–Rassias Stability of an Equation of Davison

Journal of Mathematical Analysis and Applications, 1999
Let \(E_1\) be a normed algebra with a unit element, \(E_2\) be a Banach space and let \(f:E_1\rightarrow E_2\). In the paper the Hyers-Ulam-Rassias stability of the Davison functional equation \[ f(xy)+f(x+y)=f(xy+x)+f(y) \] is proved. As a consequence of the main theorem the authors obtain among others the following: Let \(\varepsilon\geq 0\) and \(p\
Jung, Soon-Mo, Sahoo, Prasanna K
openaire   +2 more sources

On a Nonlinear Coupled Fractional Differential System With Multiderivative‐Terms and Coupled Closed Boundary Data

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This article is devoted to the study of existence, uniqueness, and Ulam–Hyers stability for a coupled system of two nonlinear Caputo‐type multiterm fractional differential equations equipped with coupled closed boundary data. The concept of coupled closed boundary conditions finds its applications in several physical situations, like composite panels ...
Ahmed Alsaedi, Hafed A. Saeed, Bashir Ahmad, Stanislaw Migorski   +3 more
wiley   +1 more source

Ulam-Hyers Stability and Ulam-Hyers-Rassias Stability for Fuzzy Integrodifferential Equation

Complexity, 2019
In this paper, we establish the Ulam-Hyers stability and Ulam-Hyers-Rassias stability for fuzzy integrodifferential equations by using the fixed point method and the successive approximation method.
Nguyen Ngoc Phung, Bao Quoc Ta, Ho Vu
doaj   +1 more source

A Fixed-Point Approach to the Hyers–Ulam Stability of Caputo–Fabrizio Fractional Differential Equations

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
doaj   +1 more source