Results 61 to 70 of about 1,857 (182)
Ural Mathematical Journal, 2023 The paper considers the Hyers–Ulam–Rassias stability for systems of nonlinear differential equations with a generalized action on the right-hand side, for example, containing impulses — delta functions.
Alexander N. Sesekin, Anna D. Kandrina
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Hyers-Ulam-Rassias Stability for the Heat Equation
Applied Mathematics, 2013 In this paper we apply the Fourier transform to prove the Hyers-Ulam-Rassias stability for one dimensional heat equation on an infinite rod. Further, the paper investigates the stability of heat equation in with initial condition, in the sense of Hyers-Ulam-Rassias.
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On the Stability of Fractional Integro‐Differential Equations of Ψ‐Hilfer Type
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this article, we investigate some properties such as the existence, uniqueness, and Ulam–Hyers–Rassias stability for the fractional Volterra–Fredholm integrodifferential equations of Ψ‐Hilfer type with boundary conditions. We prove the desired results by using the Banach fixed point theorem and the Schauder fixed point theorem.
Malayin A. Mohammed +3 more
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On stability for nonlinear implicit fractional differential equations
Le Matematiche, 2015 The purpose of this paper is to establish some types of Ulam stability: Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for a class of implicit fractional-order ...
Mouffak Benchohra, Jamal E. Lazreg
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Hyers–Ulam Stability of a System of Hyperbolic Partial Differential Equations
Mathematics, 2022 In this paper, we study Hyers–Ulam and generalized Hyers–Ulam–Rassias stability of a system of hyperbolic partial differential equations using Gronwall’s lemma and Perov’s theorem.
Daniela Marian +2 more
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Representation of Multilinear Mappings and s‐Functional Inequality
Journal of Mathematics, Volume 2026, Issue 1, 2026.In the current research, we introduce the multilinear mappings and represent the multilinear mappings as a unified equation. Moreover, by applying the known direct (Hyers) manner, we establish the stability (in the sense of Hyers, Rassias, and Găvruţa) of the multilinear mappings, associated with the single multiadditive functional inequality.
Abasalt Bodaghi, Pramita Mishra
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Hyers-Ulam-Rassias stability of a generalized Pexider functional equation
Banach Journal of Mathematical Analysis, 2007 In this interesting paper, the authors investigate the generalized Hyers-Ulam stability for a functional equation of Pexider type on groups.
Charifi, Ahmed +2 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.In the current study, we introduce a system of functional equations (FEs) deriving from the mixed type additive–quadratic and the mixed‐type cubic–quartic FEs which describes a multimixed additive–quadratic–cubic–quartic mapping. We also characterize such mappings and in fact, we represent the general system of the mixed‐type additive‐quadratic and the
Siriluk Donganont +2 more
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Demonstratio MathematicaIn this article, we apply the Fourier transform to prove the Hyers-Ulam and Hyers-Ulam-Rassias stability for the first- and second-order nonlinear differential equations with initial conditions.
Selvam Arunachalam +2 more
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The Life and Work of D.H. Hyers, 1913-1997 [PDF]
, 2006 The following is a sketch of the life and work of Donald Holmes Hyers, Professor Emeritus from the University of Southern California. The theorem put forth by Hyers in 1941 concerning linear functional equations has gained a great deal of interest over ...
Singleton, Brent D.
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