Results 51 to 60 of about 2,398,519 (163)
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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Stability and Superstability of a Linear Functional Equation on Restricted Domains
Journal of Function Spaces, Volume 2026, Issue 1, 2026.This paper investigates the Hyers–Ulam stability and superstability of the functional equation f(x2 + yf(z)) = xf(x) + zf(y) for real‐valued functions f : R⟶R on some restricted subsets of R.
Abbas Najati +3 more
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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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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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Hyers-Ulam-Rassias Stability for Abel-Riccati Type First-Order Differential Equations
, 2019 This paper examines Hyers-Ulam (HU), Hyers-Ulam-Rassias (HUR) and HyersUlam-Rassias-Gavruta (HURG) stability of the first-order differential equation including Bernoulli's, Riccati and Abel with given initial ...
Mısır, Adil +8 more
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Nonlinear analysis for Hilfer fractional differential equations
Franklin OpenIn this paper, we discuss nonlinear Hilfer fractional differential equations with separated boundary conditions. Using the well-known Leggett–Williams theorem, we first explore the existence of multiple positive solutions for the nonlinear Hilfer ...
Debananda Basua, Swaroop Nandan Bora
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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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Ulam-Hyers-Rassias stability for fuzzy fractional integral equations
, 2020 In this paper, we study the fuzzy Ulam-Hyers-Rassias stability for two kinds of fuzzy fractional integral equations by employing the fixed point technique. © 2020, University of Sistan and Baluchestan.
Rassias, J.M., Van Hoa, N., Vu, H.
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Stability of the Cauchy-Jensen Functional Equation in C∗-Algebras: A Fixed Point Approach
Fixed Point Theory and Applications, 2008 we prove the Hyers-Ulam-Rassias stability of C∗-algebra homomorphisms and of generalized derivations on C∗-algebras for the following Cauchy-Jensen functional equation 2f((x+y)/2+z)=f(x)+f(y)+2f(z), which was introduced and investigated by Baak
Jong Su An, Choonkil Park
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Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we study a coupled system of fractional Volterra integral equations in the ∗‐fuzzy measure spaces that are equipped with an Archimedean triangular norm and a ∗‐fuzzy integral. Setting a Lipschitz condition on the nonlinear kernels, defining a suitable ∗‐fuzzy control function, and applying the alternative fixed‐point method, we obtain ...
Mahdis Yazdani Gharehaghaj +3 more
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