On some recent developments in Ulam′ s type stability

N Brillouët-Belluot, J Brzdęk… - Abstract and applied …, 2012 - Wiley Online Library
On Some Recent Developments in Ulam′s Type Stability - Brillouët-Belluot - 2012 -
Abstract and Applied Analysis - Wiley Online Library Skip to Article Content Skip to Article …

[PDF][PDF] ULAM STABILITY OF ORDINARY DIFFERENTIAL EQUATIONS.

IA Rus - Studia Universitatis Babes-Bolyai, Mathematica, 2009 - Citeseer
ULAM STABILITY OF ORDINARY DIFFERENTIAL EQUATIONS 1. Introduction The basic
statements of data dependence in the theory of ordin Page 1 STUDIA UNIV. “BABES–BOLYAI” …

On Ulam's type stability of the linear equation and related issues

J Brzdęk, K Ciepliński, Z Leśniak - Discrete Dynamics in Nature …, 2014 - Wiley Online Library
This is a survey paper concerning stability results for the linear functional equation in single
variable. We discuss issues that have not been considered or have been treated only briefly …

On the Hyers–Ulam stability of the linear differential equation

D Popa, I Raşa - Journal of Mathematical Analysis and Applications, 2011 - Elsevier
On the Hyers–Ulam stability of the linear differential equation Page 1 J. Math. Anal. Appl. 381
(2011) 530–537 Contents lists available at ScienceDirect Journal of Mathematical Analysis and …

Hyers–Ulam stability of nonlinear differential equations with fractional integrable impulses

A Zada, W Ali, S Farina - Mathematical methods in the Applied …, 2017 - Wiley Online Library
This paper is devoted to establish Bielecki–Ulam–Hyers–Rassias stability, generalized
Bielecki–Ulam–Hyers–Rassias stability, and Bielecki–Ulam–Hyers stability on a compact …

A new method for the generalized Hyers-Ulam-Rassias stability

P Gavruta, L Gavruta - International Journal of Nonlinear …, 2010 - ijnaa.semnan.ac.ir
A NEW METHOD FOR THE GENERALIZED HYERS-ULAM-RASSIAS STABILITY 1. Introduction
The stability problem as started by SM Ulam [52] Page 1 Int. J. Nonlinear Anal. Appl. 1 (2010) …

[PDF][PDF] Hyers-Ulam stability of nth order linear differential equations

T Li, A Zada, S Faisal - J. Nonlinear Sci. Appl, 2016 - emis.de
The theory of stability is an important branch of the qualitative theory of differential
equations. In 1940, Ulam [24] raised a problem when can we assert that the solutions of an …

On the Hyers-Ulam stability of a first order partial differential equation

N Lungu, D Popa - Carpathian Journal of Mathematics, 2012 - JSTOR
On the Hyers-Ulam stability of a first order partial differential equation Page 1 CARPATHIAN J.
MATH. 28 (2012), No. 1, 77 - 82 Online version available at http : / /Carpathian .uhm. ro Print …

Connections between Hyers-Ulam stability and uniform exponential stability of discrete evolution families of bounded linear operators over Banach spaces

T Li, A Zada - Advances in Difference Equations, 2016 - Springer
In this article, we prove that the ω-periodic discrete evolution family Γ:= ρ (n, k): n, k∈ Z+, n≥
k Γ:={ρ(n,k):n,k∈Z_+,n≧k\} of bounded linear operators is Hyers-Ulam stable if and only if it …

Ulam's-type stability of first-order impulsive differential equations with variable delay in quasi–Banach spaces

JR Wang, A Zada, W Ali - International Journal of Nonlinear Sciences …, 2018 - degruyter.com
In this paper, Ulam's-type stabilities are studied for a class of first-order impulsive differential
equations with bounded variable delays on compact interval with finite number of impulses …