Results 101 to 110 of about 12,578 (196)

Ulam′s Type Stability [PDF]

open access: yesAbstract and Applied Analysis, 2012
Brzdęk, Janusz   +3 more
openaire   +3 more sources

ON HYERS-ULAM STABILITY OF THE PEXIDER EQUATION

open access: yesDemonstratio Mathematica, 2004
The following result is proved. Theorem: Let \((S,+)\) be a commutative semigroup and let \(X\) be a~sequentially complete linear topological Hausdorff space. Assume that \(V\) is a sequentially closed, bounded, convex and symmetric with respect to zero subset of \(X\).
openaire   +4 more sources

On Generalized Hyers‐Ulam Stability of Admissible Functions [PDF]

open access: yesAbstract and Applied Analysis, 2012
We consider the Hyers‐Ulam stability for the following fractional differential equations in sense of Srivastava‐Owa fractional operators (derivative and integral) defined in the unit disk: , in a complex Banach space. Furthermore, a generalization of the admissible functions in complex Banach spaces is imposed, and applications are illustrated.
openaire   +3 more sources

Hyers–Ulam stability of Sahoo–Riedel’s point

open access: yesApplied Mathematics Letters, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
W. Lee, S. Xu, F. Ye
openaire   +2 more sources

On the Stability of a Cubic Functional Equation in Random Normed Spaces

open access: yesJournal of Mathematical Extension, 2009
The concept of Hyers-Ulam-Rassias stability has been originated from a stability theorem due to Th. M. Rassias. Recently, the Hyers-Ulam-Rassias stability of the functional equation f(x + 2y) + f(x − 2y) = 2f(x) − f(2x) + 4n f(x + y) + f(x − y) o ,
H. Azadi Kenary
doaj  

Stabilities of Cubic Mappings in Various Normed Spaces: Direct and Fixed Point Methods

open access: yesJournal 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   +3 more
doaj   +1 more source

Hyers-Ulam stability of a nonlinear partial integro-differential equation of order three

open access: yesOpen 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   +2 more
doaj   +1 more source

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

open access: yesInternational 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

On the qualitative behaviors of Volterra-Fredholm integro differential equations with multiple time-varying delays

open access: yesArab Journal of Basic and Applied Sciences
This article considers a Volterra-Fredholm integro-differential equation including multiple time-varying delays. The aim of this article is to study the uniqueness of solution, the Ulam–Hyers–Rassias stability and the Ulam–Hyers stability of the Volterra-
Cemil Tunç, Osman Tunç
doaj   +1 more source

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