Results 41 to 50 of about 111 (111)
Stability Results for Some Functional Equations on 2‐Banach Spaces With Restricted Domains
Journal of Mathematics, Volume 2025, Issue 1, 2025.We have a normed abelian group G,.∗,+ and a 2‐pre‐Hilbert space Y with linearly independent elements u and v. Our goal is to prove that any odd map f:G⟶Y satisfying the inequality ‖f(x) + f(y), z‖ ⩽ ‖f(x + y), z‖, z ∈ {u, v}, for all x,y∈G with ‖x‖∗ + ‖y‖∗ ≥ d and some d ≥ 0, is additive. Then, we examined the stability issue correlated with Cauchy and
M. R. Abdollahpour +3 more
wiley +1 more source
Journal of Mathematics, Volume 2025, Issue 1, 2025.This paper analyzes the stability of the Euler–Lagrange–Jensen cubic functional equation in the context of Banach spaces and Intuitionistic Fuzzy Normed Spaces (IFN‐Spaces). We use both direct and fixed point techniques to establish the generalized Ulam stability of the cubic functional equation under various norm‐based constraints.
Subramani Karthikeyan +4 more
wiley +1 more source
The generalized Hyers–Ulam–Rassias stability of a cubic functional equation
Journal of Mathematical Analysis and Applications, 2002 The authors consider the functional equation \[ f(2x+y) +f(2x-y)=2f(x+y)+ 2f(x-y)+12f(x). \] They determine the general solution, which is of the form \(f(x)= B(x,x,x)\) where \(B\) is symmetric and additive in each variable. Moreover they investigate the stability properties of this equation.
Jun, Kil-Woung, Kim, Hark-Mahn
openaire +1 more source
Hyers–Ulam–Rassias stability of fractional delay differential equations with Caputo derivative
Mathematical Methods in the Applied Sciences, Volume 47, Issue 18, Page 13499-13509, December 2024.This paper is devoted to the study of Hyers–Ulam–Rassias (HUR) stability of a nonlinear Caputo fractional delay differential equation (CFrDDE) with multiple variable time delays. We obtain two new theorems with regard to HUR stability of the CFrDDE on bounded and unbounded intervals. The method of the proofs is based on the fixed point approach.
Chaimaa Benzarouala, Cemil Tunç
wiley +1 more source
Hyers–Ulam Stability of Solution for Generalized Lie Bracket of Derivations
Journal of Mathematics, Volume 2024, Issue 1, 2024.In this work, we present a new concept of additive‐Jensen s‐functional equations, where s is a constant complex number with |s| < 1, and solve them as two classes of additive functions. We then indicate that they are C‐linear mappings on Lie algebras. Following this, we define generalized Lie bracket derivations between Lie algebras.
Vahid Keshavarz +2 more
wiley +1 more source
Journal of Mathematics, Volume 2024, Issue 1, 2024.In this article, we consider nonlinear neutral Volterra integro‐differential equations (NVIDEs) including infinite delay. We prove three new theorems with regard to the stability, the uniform stability, and the instability of zero solution of the NVIDEs.
Cemil Tunç +2 more
wiley +1 more source
Generalized β-Hyers-Ulam-Rassias Stability of Impulsive Difference Equations. [PDF]
Comput Intell Neurosci, 2022 Almalki Y +5 more
europepmc +1 more source
A Generalization of the Hyers–Ulam–Rassias Stability of Jensen's Equation
Journal of Mathematical Analysis and Applications, 1999 The following generalization of the stability of the Jensen's equation in the spirit of Hyers-Ulam-Rassias is proved: Let \(V\) be a normed space, \(X\) -- a Banach space, \(pa\). For the case \(p>1\) a corresponding result is obtained.
Lee, Yang-Hi, Jun, Kil-Woung
openaire +2 more sources
Hyers-Ulam-Rassias Stability for a First Order Functional Differential Equation
Journal of Mathematical and Fundamental Sciences, 2015 In this paper, by using the fixed point method, we prove two new results on the Hyers-Ulam-Rassias and the Hyers-Ulam stability for the first order delay differential equation of the form y′(t) = F(t, y(t), y(t −τ )). Our results improve some related results in the literature.
TUNÇ, CEMİL, Biçer, Emel
openaire +4 more sources
Generalized Ulam-Hyers-Rassias stability and novel sustainable techniques for dynamical analysis of global warming impact on ecosystem. [PDF]
Sci Rep, 2023 Farman M +5 more
europepmc +1 more source