Results 91 to 100 of about 1,516 (136)
Fixed Points and Generalized Hyers‐Ulam Stability
Abstract and Applied Analysis, 2012 In this paper we prove a fixed‐point theorem for a class of operators with suitable properties, in very general conditions. Also, we show that some recent fixed‐points results in Brzdęk et al., (2011) and Brzdęk and Ciepliński (2011) can be obtained directly from our theorem. Moreover, an affirmative answer to the open problem of Brzdęk and Ciepliński
Cădariu, L. +2 more
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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
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ON HYERS-ULAM STABILITY OF THE PEXIDER EQUATION
Demonstratio 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 \(X\).
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On Generalized Hyers‐Ulam Stability of Admissible Functions [PDF]
Abstract 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.
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Hyers–Ulam stability of Sahoo–Riedel’s point
Applied Mathematics Letters, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
W. Lee, S. Xu, F. Ye
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On the Stability of a Cubic Functional Equation in Random Normed Spaces
Journal 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
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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 +3 more
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Hyers-Ulam stability of a nonlinear partial integro-differential equation of order three
Open MathematicsIn 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
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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
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Stability in the Sense of Hyers–Ulam–Rassias for the Impulsive Volterra Equation
Fractal and FractionalThis article aims to use various fixed-point techniques to study the stability issue of the impulsive Volterra integral equation in the sense of Ulam–Hyers (sometimes known as Hyers–Ulam) and Hyers–Ulam–Rassias.
El-sayed El-hady +3 more
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