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 …

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 non-autonomous systems in terms of boundedness of Cauchy problems

A Zada, O Shah, R Shah - Applied Mathematics and Computation, 2015 - Elsevier
In this paper, the concepts of Hyers–Ulam stability are generalized for non-autonomous
linear differential systems. We prove that the k-periodic linear differential matrix system Z˙(t) …

[HTML][HTML] Laplace transform and Hyers–Ulam stability of linear differential equations

H Rezaei, SM Jung, TM Rassias - Journal of Mathematical Analysis and …, 2013 - Elsevier
In this paper, we prove the Hyers–Ulam stability of a linear differential equation of the nth
order. More precisely, applying the Laplace transform method, we prove that the differential …

Ulam–Hyers stability of dynamic equations on time scales via Picard operators

S András, AR Mészáros - Applied Mathematics and Computation, 2013 - Elsevier
In this paper we study the Ulam–Hyers stability of some linear and nonlinear dynamic
equations and integral equations on time scales. We use both direct and operatorial …

Hyers–Ulam stability of the linear differential operator with nonconstant coefficients

D Popa, I Raşa - Applied Mathematics and Computation, 2012 - Elsevier
Hyers–Ulam stability of the linear differential operator with nonconstant coefficients - ScienceDirect
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The Ulam stability of first order linear dynamic equations on time scales

Y Shen - Results in Mathematics, 2017 - Springer
The Ulam Stability of First Order Linear Dynamic Equations on Time Scales Page 1 Results
Math 72 (2017), 1881–1895 c© 2017 Springer International Publishing AG 1422-6383/17/041881-15 …

[PDF][PDF] Laplace transform and generalized Hyers-Ulam stability of linear differential equations

QH Alqifiary, SM Jung - Electron. J. Differ. Equ, 2014 - academia.edu
LAPLACE TRANSFORM AND GENERALIZED HYERS-ULAM STABILITY OF LINEAR
DIFFERENTIAL EQUATIONS 1. Introduction In 1940, Ulam [24] posed Page 1 Electronic Journal of …

Semi-Hyers–Ulam–Rassias stability of the convection partial differential equation via Laplace transform

D Marian - Mathematics, 2021 - mdpi.com
Mathematics | Free Full-Text | Semi-Hyers–Ulam–Rassias Stability of the
Convection Partial Differential Equation via Laplace Transform Next Article in Journal A Global …

Connections between Hyers-Ulam stability and uniform exponential stability of 2-periodic linear nonautonomous systems

A Zada, P Wang, D Lassoued, T Li - Advances in Difference Equations, 2017 - Springer
We prove that the system θ˙(t)= Λ (t) θ (t) ̇θ(t)=Λ(t)θ(t), t∈ R+ t∈R_+, is Hyers-Ulam stable if
and only if it is uniformly exponentially stable under certain conditions; we take the exact …