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 …

[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 …

Hyers-Ulam stability of first-order non-linear delay differential equations with fractional integrable impulses

A Zada, SO Shah - Hacettepe Journal of Mathematics and Statistics, 2018 - dergipark.org.tr
This paper proves the Hyers-Ulam stability and Hyers-Ulam-Rassias stability of first-order
non-linear delay differential equations with fractional integrable impulses. Our approach …

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 …

[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 …

[图书][B] Stability of functional equations in random normed spaces

YJ Cho, TM Rassias, R Saadati - 2013 - books.google.com
This book discusses the rapidly developing subject of mathematical analysis that deals
primarily with stability of functional equations in generalized spaces. The fundamental …

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 …

[HTML][HTML] Hyers–Ulam stability of associated Laguerre differential equations in a subclass of analytic functions

MR Abdollahpour, R Aghayari, MT Rassias - Journal of Mathematical …, 2016 - Elsevier
Hyers–Ulam stability of associated Laguerre differential equations in a subclass of analytic
functions - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books …

[HTML][HTML] Best constant in Hyers–Ulam stability of first-order homogeneous linear differential equations with a periodic coefficient

R Fukutaka, M Onitsuka - Journal of Mathematical Analysis and …, 2019 - Elsevier
This paper is concerned with Hyers–Ulam stability of the first-order homogeneous linear
differential equation x′− a (t) x= 0 on R, where a: R→ R is a continuous periodic function. It …

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 …