Results 111 to 120 of about 6,753 (236)

Fixed points and fuzzy stability of an additive-quadratic functional equation [PDF]

, 2013
Ministry of Education, Science and TechnologyThe fuzzy stability problems for the Cauchy additive functional equation and the Jensen additive functional equation in fuzzy Banach spaces have been investigated by Moslehian et al.
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core  

Hyers–Ulam Stability of Solution for Generalized Lie Bracket of Derivations

Journal of Mathematics, Volume 2024, Issue 1, 2024.
In this work, we present a new concept of additive‐Jensen s‐functional equations, where s is a constant complex number with |s| < 1, and solve them as two classes of additive functions. We then indicate that they are C‐linear mappings on Lie algebras. Following this, we define generalized Lie bracket derivations between Lie algebras.
Vahid Keshavarz, Mohammad Taghi Heydari, Erhan Güler   +2 more
wiley   +1 more source

On the Hyers–Ulam–Rassias stability of functional equations in n-variables

Journal of Mathematical Analysis and Applications, 2004
In this interesting paper the author proves the stability in the sense of Hyers-Ulam-Rassias and Găvruţa for the functional equation \[ f(\varphi(X))=\phi(X)f(X)+\psi(X) \] and the stability in the sense of R. Ger for the functional equation \[ f(\varphi(X))=\phi(X)f(X), \] where \(X\) lies in \(n\)-variables. Some applications are given.
openaire   +2 more sources

On the Hyers-Ulam-Rassias Stability of a General Quintic Functional Equation and a General Sextic Functional Equation

Mathematics, 2019
The general quintic functional equation and the general sextic functional equation are generalizations of many functional equations such as the additive function equation and the quadratic function equation.
Yang-Hi Lee
semanticscholar   +1 more source

Improved Stability and Instability Results for Neutral Integro‐Differential Equations including Infinite Delay

Journal of Mathematics, Volume 2024, Issue 1, 2024.
In this article, we consider nonlinear neutral Volterra integro‐differential equations (NVIDEs) including infinite delay. We prove three new theorems with regard to the stability, the uniform stability, and the instability of zero solution of the NVIDEs.
Cemil Tunç, Fahir Talay Akyildiz, Valerii Obukhovskii   +2 more
wiley   +1 more source

Stability Results for a Class of Fractional Itô–Doob Stochastic Integral Equations

Complexity, Volume 2024, Issue 1, 2024.
In this paper, we study the Hyers–Ulam stability of Hadamard fractional Itô–Doob stochastic integral equations by using the Banach fixed point method and some mathematical inequalities. Finally, we exhibit three theoretical examples to apply our theory.
Omar Kahouli, Ali Aloui, Lassaad Mchiri, Abdellatif Ben Makhlouf, Daniel Maria Busiello   +4 more
wiley   +1 more source

On a singular case in the Hyers–Ulam–Rassias stability of the Wigner equation

Journal of Mathematical Analysis and Applications, 2004
The author considers the Hyers-Ulam-Rassias stability of the Wigner equation in Hilbert spaces basing on a paper by \textit{J. Chmieliński} and \textit{S.-M. Jung} [ibid. 254, 309--320 (2001; Zbl 0971.39016)] and a preprint by \textit{S.-M. Jung}. Let \(E\), \(F\) be real or complex Hilbert spaces and \(f: E\to F\) satisfy that \[ ||\langle f(x)| f(y ...
openaire   +1 more source

Stability analysis of implicit fractional differential equations with anti-periodic integral boundary value problem

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2019
In this manuscript, we study the existence, uniqueness and various kinds of Ulam stability including Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability, and generalized Ulam-Hyers-Rassias stability of the solution to an ...
Akbar Zada, Hira Waheed
doaj  

Study on existence and stability analysis for implicit neutral fractional differential equations of ABC derivative

Partial Differential Equations in Applied Mathematics
In this paper, we study the existence, uniqueness, and stability analysis of non-linear implicit neutral fractional differential equations involving the Atangana–Baleanu derivative in the Caputo sense. The Banach contraction principle theorem is employed
V. Sowbakiya, R. Nirmalkumar, K. Loganathan, C. Selvamani   +3 more
doaj   +1 more source

Approximate Controllability and Ulam Stability for Second‐Order Impulsive Integrodifferential Evolution Equations with State‐Dependent Delay

International Journal of Differential Equations, Volume 2024, Issue 1, 2024.
In this paper, we shall establish sufficient conditions for the existence, approximate controllability, and Ulam–Hyers–Rassias stability of solutions for impulsive integrodifferential equations of second order with state‐dependent delay using the resolvent operator theory, the approximating technique, Picard operators, and the theory of fixed point ...
Abdelhamid Bensalem, Abdelkrim Salim, Mouffak Benchohra, Gaston N’Guérékata, Amar Nath Chatterjee   +4 more
wiley   +1 more source