Results 111 to 120 of about 2,398,627 (204)

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

, 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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On Approximation Solutions of the Cauchy-Jensen and the Additive-Quadratic Functional Equation in Paranormed Spaces

International Journal of Analysis and Applications, 2019
In this paper, we prove the generalized Hyers-Ulam-Rassias stability of the bi-Cauchy-Jensen functional equation and the bi-additive-quadratic functional equation in paranormed spaces.
Prondanai Kaskasem, Chakkrid Klin-eam
doaj   +2 more sources

On the Stability of Nonautonomous Linear Impulsive Differential Equations

Journal of Function Spaces and Applications, 2013
We introduce two Ulam's type stability concepts for nonautonomous linear impulsive ordinary differential equations. Ulam-Hyers and Ulam-Hyers-Rassias stability results on compact and unbounded intervals are presented, respectively.
JinRong Wang, Xuezhu Li
doaj   +1 more source

Hyers-Ulam and Hyers-Ulam-Rassias stability of a class of Hammerstein integral equations

, 2017
The purpose of this paper is to study different kinds of stability for a class of Hammerstein integral equations. Sufficient conditions are derived in view to obtain Hyers-Ulam stability and Hyers-Ulam-Rassias stability for such a class of Hammerstein ...
L. P. Castro, Castro, L. P., Simões, A. M., A. M. Simões   +3 more
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Existence and Ulam stability for fractional differential equations of Hilfer-Hadamard type

Advances in Difference Equations, 2017
This article deals with some existence and Ulam-Hyers-Rassias stability results for a class of functional differential equations involving the Hilfer-Hadamard fractional derivative.
S Abbas, M Benchohra, JE Lagreg, A Alsaedi, Y Zhou   +4 more
doaj   +1 more source

Existence and stability of mixed type Hilfer fractional differential equations with impulses and time delay

Results in Applied Mathematics
In this paper, we consider a class of mixed type Hilfer fractional differential equations with noninstantaneous impulses, nonlocal conditions and time delay.
Baoyan Han, Bo Zhu
doaj   +1 more source

Hyers-Ulam-Rassias stability of (m, n)-Jordan derivations

, 2020
In this paper, we study the Hyers-Ulam-Rassias stability of (m,n)(m,n)-Jordan derivations. As applications, we characterize (m,n)(m,n)-Jordan derivations on C⁎{C}^{\ast }-algebras and some non-self-adjoint operator ...
Yao Ying, An Guangyu, Guangyu An, Ying Yao   +3 more
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A Generalization of the Hyers-Ulam-Rassias Stability of Approximately Additive Mappings

Journal of Mathematical Analysis and Applications, 1994
The author proves a generalization of the stability of approximately additive mappings in the spirit of Hyers, Ulam and Rassias.
openaire   +2 more sources

Ulam’s Type Stability of a Discrete Matrix Equation with Second-Order Difference and Single Delay

Mathematical and Computational Applications
In this paper, we investigate the Ulam stability problem for a second-order discrete matrix difference equation with a single delay. The primary aim of this work is to establish rigorous Ulam-type stability criteria for this class of delayed matrix ...
Maosong Yang, Guanli Xiao, Yumei Liao, Adan Ding   +3 more
doaj   +1 more source

Ulam-Hyers-Rassias stability of semilinear differential equations with impulses

, 2013
In this article, we present Ulam-Hyers-Rassias and Ulam-Hyers stability results for semilinear differential equations with impulses on a compact interval.
Jinrong Wang, Xuezhu Li
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