Results 121 to 130 of about 4,116 (221)

Hyers-Ulam and Hyers-Ulam-Aoki-Rassias Stability for Linear Ordinary Differential Equations

, 2015
Here we prove the Hyers-Ulam stability and Hyers-Ulam-Aoki-Rassias stability of the n-th order ordinary linear differential equation with smooth coefficients on compact and semi-bounded intervals using successive integration by parts ...
Mohapatra, A. N.
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Hyers-Ulam stability of an integro-differential equation

, 2014
In this study, we will establish the Hyers-Ulam-Rassias stability and the Hyers-Ulam stability of an integro-differential equation.
Şevgin, Sebaheddin, SEVLI, HAMDULLAH
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Stabilities of Cubic Mappings in Various Normed Spaces: Direct and Fixed Point Methods

Journal of Applied Mathematics, 2012
In 1940 and 1964, Ulam proposed the general problem: “When is it true that by changing a little the hypotheses of a theorem one can still assert that the thesis of the theorem remains true or approximately true?”.
H. Azadi Kenary, H. Rezaei, S. Talebzadeh, S. Jin Lee   +3 more
doaj   +1 more source

Hyers-Ulam stability of linear quaternion-valued differential equations

, 2023
In this article, we study the Hyers-Ulam stability of the first-order linear quaternion-valued differential equations. We transfer a linear quaternion-valued differential equation into a real differential system.
Wang, Jinrong, Liu, Rui, Lv, Jiaojiao
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Hyers-Ulam stability of a nonlinear partial integro-differential equation of order three

Open Mathematics
In this article, we study the Hyers-Ulam stability of a nonlinear partial integro-differential equation of order three, of hyperbolic type, using Bielecki norm.
Marian Daniela, Ciplea Sorina Anamaria, Lungu Nicolaie   +2 more
doaj   +1 more source

Hyers-Ulam and Hyers-Ulam-Rassias stability of a class of integral equations on finite intervals

, 2017
The purpose of this work is to study different kinds of stability for a class of integral equations defined on a finite interval. Sufficient conditions are derived in view to obtain Hyers-Ulam stability and Hyers-Ulam-Rassias stability by using fixed ...
Castro, L. P., Simões, A. M.
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Hyers- Ulam Rassias Stability of Exponential Primitive Mapping

, 2013
The aim of this paper is to prove  the stability of  Exponential Primitive Mapping in sprit of  Hyers- Ulam- Rassias. Keywords .  Hyers- Ulam Rassias Stability, Exponential Primitive Mapping. AMS Subject Classification (1991).
Shrivastava, Kavita
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Mittag-leffler-hyers-ulam stability of prabhakar fractional integral equation

, 2021
In this paper, we define and investigate Mittag-Leffler-Hyers-Ulam and Mittag-Leffler-Hyers-Ulam-Rassias stability of Prabhakar fractional integral equation. © 2021, Semnan University, Center of Excellence in Nonlinear Analysis and Applications.
Eghbali, N., Moharramnia, A., Rassias, J.M.   +2 more
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Ulam-Hyers Stability of Caputo Fractional Difference Equations

, 2019
We study the Ulam-Hyers stability of linear and nonlinear nabla fractional Caputo difference equations on finite intervals. Our main tool used is a recently established generalized Gronwall inequality, which allows us to give some Ulam-Hyers stability ...
Bohner, Martin, Chen, Churong, Baoguo Jia, Jia, Baoguo, Martin Bohner, Churong Chen   +5 more
core   +1 more source

On Hyers-Ulam Stability for Nonlinear Differential Equations of nth Order

International Journal of Analysis and Applications, 2013
This paper considers the stability of nonlinear differential equations of nth order in the sense of Hyers and Ulam. It also considers the Hyers-Ulam stability for superlinear Emden-Fowler differential equation of nth order. Some illustrative examples are
Maher Nazmi Qarawani
doaj   +2 more sources