Results 81 to 90 of about 107,297 (248)
On a modified Hyers‐Ulam stability of homogeneous equation [PDF]
International Journal of Mathematics and Mathematical Sciences, 1998 In this paper, a generalized Hyers‐Ulam stability of the homogeneous equation shall be proved, i.e., if a mapping f satisfies the functional inequality ‖f(yx) − ykf(x)‖ ≤ φ(x, y) under suitable conditions, there exists a unique mapping T satisfying T(yx) = ytT(x) and ‖T(x) − f(x)‖ ≤ Φ(x).
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Estimation of Inexact Multimixed Additive‐Quadratic Mappings in Fuzzy Normed Spaces
Journal of Mathematics, Volume 2025, Issue 1, 2025.In the current study, we introduce a new model of multimixed additive‐quadratic mapping and then show that the system of several mixed additive‐quadratic equations defining a multimixed additive‐quadratic mapping can be unified and presented as a single equation. We also show that such mappings under some conditions are multi‐additive, multi‐quadratic,
Abasalt Bodaghi, Pramita Mishra
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Journal of Mathematics, Volume 2025, Issue 1, 2025.This study delves into the formulation of innovative integral inequalities, specifically designed to accommodate weakly singular singularities, thus significantly broadening the scope of previously established ones. The methodology employed centers around the application of weighted fractional differential equations, leading to the derivation of a ...
Salah Boulares +5 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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Stability Results for Some Functional Equations on 2‐Banach Spaces With Restricted Domains
Journal of Mathematics, Volume 2025, Issue 1, 2025.We have a normed abelian group G,.∗,+ and a 2‐pre‐Hilbert space Y with linearly independent elements u and v. Our goal is to prove that any odd map f:G⟶Y satisfying the inequality ‖f(x) + f(y), z‖ ⩽ ‖f(x + y), z‖, z ∈ {u, v}, for all x,y∈G with ‖x‖∗ + ‖y‖∗ ≥ d and some d ≥ 0, is additive. Then, we examined the stability issue correlated with Cauchy and
M. R. Abdollahpour +3 more
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Mathematics, 2019 We discuss the existence and uniqueness of solutions for a Caputo-type fractional order boundary value problem equipped with non-conjugate Riemann-Stieltjes integro-multipoint boundary conditions on an arbitrary domain.
Bashir Ahmad +3 more
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Stability and the Evolvability of Function in a Model Protein [PDF]
Biophysical Journal, 86:2758-2764 (2004), 2004 Functional proteins must fold with some minimal stability to a structure that can perform a biochemical task. Here we use a simple model to investigate the relationship between the stability requirement and the capacity of a protein to evolve the function of binding to a ligand.
arxiv +1 more source
Hyers–Ulam stability and discrete dichotomy
Journal of Mathematical Analysis and Applications, 2015 Abstract Let m be a given positive integer and let A be an m × m complex matrix. We prove that the discrete system X n + 1 = A X n , n ∈ Z + is Hyers–Ulam stable if and only if the matrix A possesses a discrete dichotomy. Also we prove that the scalar difference equation of order m x n + m
Dorel Barbu +2 more
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On the Asymptoticity Aspect of Hyers-Ulam Stability of Quadratic Mappings [PDF]
Journal of Inequalities and Applications, 2010 We investigate the Hyers-Ulam stability of the quadratic functional equation on restricted domains. Applying these results, we study of an asymptotic behavior of these quadratic mappings.
Asghar Rahimi +2 more
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Hyers–Ulam–Rassias stability of fractional delay differential equations with Caputo derivative
Mathematical Methods in the Applied Sciences, Volume 47, Issue 18, Page 13499-13509, December 2024.This paper is devoted to the study of Hyers–Ulam–Rassias (HUR) stability of a nonlinear Caputo fractional delay differential equation (CFrDDE) with multiple variable time delays. We obtain two new theorems with regard to HUR stability of the CFrDDE on bounded and unbounded intervals. The method of the proofs is based on the fixed point approach.
Chaimaa Benzarouala, Cemil Tunç
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