Results 1 to 10 of about 1,516 (136)
Ulam‐Hyers Stability and Ulam‐Hyers‐Rassias Stability for Fuzzy Integrodifferential Equation
Complexity, 2019 In this paper, we establish the Ulam‐Hyers stability and Ulam‐Hyers‐Rassias stability for fuzzy integrodifferential equations by using the fixed point method and the successive approximation method.
Nguyen Ngoc Phung, Bao Quoc Ta, Ho Vu
openaire +2 more sources
The Hyers–Ulam stability of nonlinear recurrences
Journal of Mathematical Analysis and Applications, 2007 In the paper of \textit{D. Popa} [J. Math. Anal. Appl. 309, No. 2, 591--597 (2005; Zbl 1079.39027)] the Hyers-Ulam stability problem was proved for linear recurrences in a Banach space. In the paper under review, the authors investigate this problem for nonlinear recurrences in a metric space \((X, d)\). More precisely, they show that if \(\{x_n\}\), \(
Dorian Popa, Janusz Brzdęk
exaly +2 more sources
Applications of Banach Limit in Ulam Stability [PDF]
Symmetry, 2021 We show how to get new results on Ulam stability of some functional equations using the Banach limit. We do this with the examples of the linear functional equation in single variable and the Cauchy equation.
Roman Badora +2 more
openaire +3 more sources
Ulam Stability for the Composition of Operators [PDF]
Symmetry, 2020 Working in the setting of Banach spaces, we give a simpler proof of a result concerning the Ulam stability of the composition of operators. Several applications are provided. Then, we give an example of a discrete semigroup with Ulam unstable members and an example of Ulam stable operators on a Banach space, such that their sum is not Ulam stable ...
Ana Maria Acu, Ioan Rasa
openaire +1 more source
Hyers–Ulam stability for quantum equations [PDF]
Aequationes mathematicae, 2020 We introduce and study the Hyers--Ulam stability (HUS) of a Cayley quantum ($q$-difference) equation of first order, where the constant coefficient is allowed to range over the complex numbers. In particular, if this coefficient is non-zero, then the quantum equation has Hyers--Ulam stability for certain values of the Cayley parameter, and we establish
Douglas R. Anderson, Masakazu Onitsuka
openaire +3 more sources
On the stability of first order impulsive evolution equations [PDF]
Opuscula Mathematica, 2014 In this paper, concepts of Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for impulsive evolution equations are raised.
JinRong Wang, Michal Fečkan, Yong Zhou
doaj +1 more source
Axioms, 2022 A boundary-value problem for a couple of scalar nonlinear differential equations with a delay and several generalized proportional Caputo fractional derivatives is studied. Ulam-type stability of the given problem is investigated.
Ravi P. Agarwal, Snezhana Hristova
doaj +1 more source
Ulam’s Type Stability 2013 [PDF]
Abstract and Applied Analysis, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Janusz Brzdęk +4 more
openaire +3 more sources
Aboodh transform and the stability of second order linear differential equations
Advances in Difference Equations, 2021 In this paper, we introduce a new integral transform, namely Aboodh transform, and we apply the transform to investigate the Hyers–Ulam stability, Hyers–Ulam–Rassias stability, Mittag-Leffler–Hyers–Ulam stability, and Mittag-Leffler–Hyers–Ulam–Rassias ...
Ramdoss Murali +3 more
doaj +1 more source
Advances in Difference Equations, 2021 In this paper, we investigate the existence and uniqueness of a solution for a class of ψ-Hilfer implicit fractional integro-differential equations with mixed nonlocal conditions.
Chatthai Thaiprayoon +2 more
doaj +1 more source