Results 51 to 60 of about 462 (172)

Ulam-Hyers-Rassias stability of a nonlinear stochastic integral equation of Volterra type [PDF]

Differential Equations & Applications, 2017
Summary: The aim of this paper is to give some Ulam-Hyers-Rassias stability results for Volterra-type stochastic integral equations. The argument makes use of Gronwall lemma and Banach's fixed point theorem.
openaire   +2 more sources

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  

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

Hyers–Ulam Stability of a System of Hyperbolic Partial Differential Equations

Mathematics, 2022
In this paper, we study Hyers–Ulam and generalized Hyers–Ulam–Rassias stability of a system of hyperbolic partial differential equations using Gronwall’s lemma and Perov’s theorem.
Daniela Marian, Sorina Anamaria Ciplea, Nicolaie Lungu   +2 more
doaj   +1 more source

Differential Methods for HU Stability of Backward Shift Operators via Weight Sequences

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper introduces a new concept of jth weighted backward shift operators on weighted Hardy spaces Hμ2. We introduce the operator Ωγj and characterize its boundedness in certain sequences associated with the weights. After that, we establish HU stability of the jth weighted backward shift operator Υenj and provide conditions under which stability ...
Zohreh Kefayati, Mohammad Taghi Heydari, Nawab Hussain, Hamed Alsulmi, Tareq Al-shami   +4 more
wiley   +1 more source

Mittag-Leffler-Hyers-Ulam stability for a first- and second-order nonlinear differential equations using Fourier transform

Demonstratio Mathematica
In 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, Sabarinathan Sriramulu, Selvan Arumugam Ponmana   +2 more
doaj   +1 more source

Contraction‐Type Fixed‐Point Theorem for Bivariate/Multivariate Self‐Mappings in Fuzzy Banach Spaces and Hyers–Ulam Stability of Multivariate Functional Equations

Journal of Mathematics, Volume 2026, Issue 1, 2026.
To address the lack of dedicated tools for analyzing the stability of bivariate functional equations in fuzzy environments, this paper investigates fixed‐point theory and functional equation stability in fuzzy Banach spaces (FBSs). First, building on the Bag–Samanta fuzzy norm, we supplement and prove the “proposition on convergence preservation of ...
Gang Lyu, Yang Liu, Yuanfeng Jin, Choonkil Park, Erhan Güler   +4 more
wiley   +1 more source

A General System of Functional Equations Deriving From Additive, Quadratic, Cubic, and Quartic Mappings

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In the current study, we introduce a system of functional equations (FEs) deriving from the mixed type additive–quadratic and the mixed‐type cubic–quartic FEs which describes a multimixed additive–quadratic–cubic–quartic mapping. We also characterize such mappings and in fact, we represent the general system of the mixed‐type additive‐quadratic and the
Siriluk Donganont, Abasalt Bodaghi, Ammar Alsinai   +2 more
wiley   +1 more source

Darbo Fixed Point Criterion on Solutions of a Hadamard Nonlinear Variable Order Problem and Ulam-Hyers-Rassias Stability

Journal of Function Spaces, 2022
The existence aspects along with the stability of solutions to a Hadamard variable order fractional boundary value problem are investigated in this research study. Our results are obtained via generalized intervals and piecewise constant functions and the relevant Green function, by converting the existing Hadamard variable order fractional boundary ...
Shahram Rezapour, Zoubida Bouazza, Mohammed Said Souıd, Sina Etemad, Mohammed K. A. Kaabar   +4 more
openaire   +2 more sources

Fixed Points and Hyers-Ulam-Rassias Stability of Cauchy-Jensen Functional Equations in Banach Algebras

Fixed Point Theory and Applications, 2007
We prove the Hyers-Ulam-Rassias stability of homomorphisms in real Banach algebras and of generalized derivations on real Banach algebras for the following Cauchy-Jensen functional equations: , , which were introduced and investigated by Baak (2006 ...
Park Choonkil
doaj   +2 more sources