Results 11 to 20 of about 1,516 (136)

Hyers-Ulam-Rassias Stability for Linear and Semi-Linear Systems of Differential Equations [PDF]

open access: yesمجلة جامعة النجاح للأبحاث العلوم الطبيعية, 2018
This paper considers Hyers-Ulam-Rassias Stability for Linear and Semi-Linear Systems of Differential Equations. We establish sufficient conditions of Hyers-Ulam-Rassias stability and Hyers-Ulam stability for linear and semi-linear systems of differential
Maher Qarawani
doaj   +1 more source

Hyers‐Ulam Stability of Polynomial Equations [PDF]

open access: yesAbstract and Applied Analysis, 2010
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
openaire   +4 more sources

On Ulam Stability of a Functional Equation [PDF]

open access: yesResults in Mathematics, 2020
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.
openaire   +2 more sources

Ulam-Hyers-Rassias Stability of Stochastic Functional Differential Equations via Fixed Point Methods

open access: yesJournal of Function Spaces, 2021
The Ulam-Hyers-Rassias stability for stochastic systems has been studied by many researchers using the Gronwall-type inequalities, but there is no research paper on the Ulam-Hyers-Rassias stability of stochastic functional differential equations via ...
Abdellatif Ben Makhlouf   +2 more
doaj   +1 more source

On Ulam stability

open access: yesIsrael Journal of Mathematics, 2012
Inspired by the bankruptcy of Lehman Brothers and its consequences on the global financial system, we develop a simple model in which the Lehman default event is quantified as having an almost immediate effect in worsening the credit worthiness of all financial institutions in the economic network. In our stylized description, all properties of a given
M. Burger, N Ozawa, A. Thom
openaire   +4 more sources

Existence and Ulam–Hyers stability for Caputo conformable differential equations with four-point integral conditions

open access: yesAdvances in Difference Equations, 2019
In this article, we investigate the existence and uniqueness of solutions for conformable derivatives in the Caputo setting with four-point integral conditions, applying standard fixed point theorems such as Banach contraction mapping principle ...
Aphirak Aphithana   +2 more
doaj   +1 more source

Analysis of a coupled system of fractional differential equations with non-separated boundary conditions

open access: yesAdvances in Difference Equations, 2020
Solutions to fractional differential equations is an emerging part of current research, since such equations appear in different applied fields. A study of existence, uniqueness, and stability of solutions to a coupled system of fractional differential ...
Danfeng Luo   +3 more
doaj   +1 more source

Existence and Stability of Implicit Fractional Differential Equations with Stieltjes Boundary Conditions Involving Hadamard Derivatives

open access: yesComplexity, 2021
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
doaj   +1 more source

Ulam Stability for a Class of Hill’s Equations [PDF]

open access: yesSymmetry, 2019
This paper deals with Ulam’s type stability for a class of Hill’s equations. In the two assertions of the main theorem, we obtain Ulam stability constants that are symmetrical to each other. By combining the obtained results, a necessary and sufficient condition for Ulam stability of a Hill’s equation is established.
Ryuma Fukutaka, Masakazu Onitsuka
openaire   +1 more source

Ulam–Hyers stability of impulsive integrodifferential equations with Riemann–Liouville boundary conditions

open access: yesAdvances in Difference Equations, 2020
This paper is concerned with a class of impulsive implicit fractional integrodifferential equations having the boundary value problem with mixed Riemann–Liouville fractional integral boundary conditions. We establish some existence and uniqueness results
Akbar Zada   +3 more
doaj   +1 more source

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