Results 51 to 60 of about 107,297 (248)
Hyers–Ulam stability of spherical functions [PDF]
Georgian Mathematical Journal, 2016 Abstract In [15] we obtained the Hyers–Ulam stability of the functional equation ∫ K
Elhoucien Eloqrachi, Belaid Bouikhalene
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Stability of Ecological Systems: A Theoretical Review [PDF]
arXiv, 2023 The stability of ecological systems is a fundamental concept in ecology, which offers profound insights into species coexistence, biodiversity, and community persistence. In this article, we provide a systematic and comprehensive review on the theoretical frameworks for analyzing the stability of ecological systems. Notably, we survey various stability
arxiv
Spectral characterizations for Hyers-Ulam stability
Electronic Journal of Qualitative Theory of Differential Equations, 2014 First we prove that an $n\times n$ complex linear system is Hyers-Ulam stable if and only if it is dichotomic (i.e. its associated matrix has no eigenvalues on the imaginary axis $i\mathbb{R}$). Also we show that the scalar differential equation of order $n,$ \[\begin{split} x^{(n)}(t)=a_1x^{(n-1)}(t)+\ldots+a_{n-1}{x}'(t)+a_nx(t),\quad t\in\mathbb{R}_+
Buse, C. +2 more
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Robust Set Stability of Logic Dynamical Systems with respect to Uncertain Switching [PDF]
arXiv, 2022 This paper proposes several definitions of robust stability for logic dynamical systems (LDSs) with uncertain switching, including robust/uniform robust set stability and asymptotical (or infinitely convergent)/finite-time set stability with ratio one.
arxiv
Hyers–Ulam stability with respect to gauges
Journal of Mathematical Analysis and Applications, 2017 Abstract We suggest a somewhat new approach to the issue of Hyers–Ulam stability. Namely, let A, B be (real or complex) linear spaces, L : A → B be a linear operator, N : = k e r L , and ρ A and ρ B be semigauges on A and B, respectively. We say that L is HU-stable with constant K ≥ 0 if for each
Janusz Brzdęk, Ioan Raşa, Dorian Popa
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Hyers-Ulam Stability of Differentiation Operator on Hilbert Spaces of Entire Functions
Journal of Function Spaces, 2014 We investigate the Hyers-Ulam stability of differentiation operator on Hilbert spaces of entire functions. We give a necessary and sufficient condition in order that the operator has the Hyers-Ulam stability and also show that the best constant of Hyers ...
Chun Wang, Tian-Zhou Xu
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Ulam’s stability for some linear conformable fractional differential equations
Advances in Difference Equations, 2020 In this paper, by introducing the concepts of Ulam type stability for ODEs into the equations involving conformable fractional derivative, we utilize the technique of conformable fractional Laplace transform to investigate the Ulam–Hyers and Ulam–Hyers ...
Sen Wang, Wei Jiang, Jiale Sheng, Rui Li
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Fractal and Fractional, 2023 We study several stability properties on a finite or infinite interval of inhomogeneous linear neutral fractional systems with distributed delays and Caputo-type derivatives.
Hristo Kiskinov +3 more
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Satbility of Ternary Homomorphisms via Generalized Jensen Equation
, 2005 In this paper, we establish the generalized Hyers--Ulam--Rassias stability of homomorphisms between ternary algebras associted to the generalized Jensen functional equation $r f(\frac{sx+ty}{r}) = s f(x) + t f(y)$.Comment: 12 ...
Moslehian, Mohammad Sal +1 more
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Stability of Partial Differential Equations by Mahgoub Transform Method
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2022 The stability theory is an important research area in the qualitative analysis of partial differential equations. The Hyers-Ulam stability for a partial differential equation has a very close exact solution to the approximate solution of the differential
Harun Biçer
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