Results 11 to 20 of about 12,578 (196)
Ulam-Hyers Stability and Ulam-Hyers-Rassias Stability for Fuzzy Integrodifferential Equation
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
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Ulam Stability for the Composition of Operators [PDF]
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
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Hyers–Ulam stability for quantum equations [PDF]
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
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Ulam’s Type Stability 2013 [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Janusz Brzdęk +4 more
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Hyers‐Ulam Stability of Polynomial Equations [PDF]
We prove the Hyers‐Ulam stability of the polynomial equation anxn + an−1xn−1 + ⋯+a1x + a0 = 0. We give an affirmative answer to a problem posed by Li and Hua (2009).
Bidkham, M. +2 more
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On Ulam Stability of a Functional Equation [PDF]
AbstractIn this note, we study the Ulam stability of a functional equation both in Banach and m-Banach spaces. Particular cases of this equation are, among others, equations which characterize multi-additive and multi-Jensen functions. Moreover, it is satisfied by the so-called multi-linear mappings.
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Israel Journal of Mathematics, 193 (1)
M. Burger, N Ozawa, A. Thom
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Ulam type stability problems for alternative homomorphisms [PDF]
We introduce an alternative homomorphism with respect to binary operations and investigate the Ulam type stability problem for such a mapping. The obtained results apply to Ulam type stability problems for several important functional equations ...
A Bahyrycz +24 more
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In this article, we make analysis of the implicit fractional differential equations involving integral boundary conditions associated with Stieltjes integral and its corresponding coupled system. We use some sufficient conditions to achieve the existence
Danfeng Luo +4 more
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Stability of a functional equation deriving from cubic and quartic functions [PDF]
In this paper, we obtain the general solution and the generalized Ulam-Hyers stability of the cubic and quartic functional equation &4(f(3x+y)+f(3x-y))=-12(f(x+y)+f(x-y)) &+12(f(2x+y)+f(2x-y))-8f(y)-192f(x)+f(2y)+30f(2x)
Ebadian, A. +2 more
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