Results 111 to 120 of about 2,275,004 (213)

Hyers-Ulam Stability of Linear Operators in Frechet Spaces [PDF]

, 2012
Hyers-Ulam stability of a linear operator between Frechet spaces is defined. Necessary and sufficient conditions for the existence of Hyers-Ulam stability of a continuous linear operator from a Frechet space to another Frechet space are ...
Balaji, S., Sam Johnson, P.
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Hyers-Ulam stability of a nonlinear partial integro-differential equation of order three

Open 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, Ciplea Sorina Anamaria, Lungu Nicolaie   +2 more
doaj   +1 more source

Extended Hyers-Ulam stability for Cauchy-Jensen mappings

, 2007
In 1940, Ulam proposed the famous Ulam stability problem. In 1941, Hyers solved the well-known Ulam stability problem for additive mappings subject to the Hyers condition on approximately additive mappings.
Rassias, J.M., Kim, H.-M., Jun, K.-W.
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Mittag-leffler-hyers-ulam stability of prabhakar fractional integral equation

, 2021
In this paper, we define and investigate Mittag-Leffler-Hyers-Ulam and Mittag-Leffler-Hyers-Ulam-Rassias stability of Prabhakar fractional integral equation. © 2021, Semnan University, Center of Excellence in Nonlinear Analysis and Applications.
Eghbali, N., Moharramnia, A., Rassias, J.M.   +2 more
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Sufficient Conditions for Ulam–Hyers–Rassias Stability of Fractional-Order Hopfield Neural Networks

Journal of Mathematics
In this paper, we study the Ulam–Hyers–Rassias stability of fractional-order Hopfield neural networks (FHNNs). By using the Mittag-Leffler function and Gronwall’s inequality, we show that such FHNNs are Ulam–Hyers–Rassias stable when the neuron ...
Ding Yali, Bai Nan
doaj   +1 more source

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
doaj  

Fractional differential equations: Ulam-Hyers stabilities

Proceeding Series of the Brazilian Society of Computational and Applied Mathematics, 2021
J. Vanterler da C. Sousa, E. Capelas de Oliveira   +1 more
openaire   +2 more sources

Ulam-Hyers stability of fractional impulsive differential equations

Journal of Nonlinear Sciences and Applications, 2018
Summary: In this paper, we first prove the existence and uniqueness for a fractional differential equation with time delay and finite impulses on a compact interval. Secondly, Ulam-Hyers stability of the equation is established by Picard operator and abstract Gronwall's inequality.
openaire   +2 more sources

Bazı Sınır-değer Problemlerinin Hyers-ulam Kararlılığı

, 2019
Bu tez çalışmasında, bazı sınır-değer problemlerinin Hyers-Ulam kararlılığı ve Hyers-Ulam-Rassias kararlılığı incelendi. İlk olarak lineer olmayan iki-nokta sınır-değer probleminin kararlılığı bir genelleşmiş sabit nokta teoremi kullanılarak ispatlandı ...
Unutur, Merve
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Hyers-Ulam stability of Volterra integro-differential equations

, 2014
In this paper, we will apply the fixed point method for proving the Hyers-Ulam-Rassias stability and the Hyers-Ulam stability of a nonlinear Volterra integrodifferentialequation.
Şevgin, Sebaheddin, SEVLI, HAMDULLAH
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