Results 31 to 40 of about 3,007,544 (224)
Hyers–Ulam Stability for Differential Systems with $$2\times 2$$ 2 × 2 Constant Coefficient Matrix [PDF]
Results in Mathematics, 2022 We explore the Hyers–Ulam stability of perturbations for a homogeneous linear differential system with $$2\times 2$$ 2 × 2 constant coefficient matrix. New necessary and sufficient conditions for the linear system to be Hyers–Ulam stable are proven, and ...
D. Anderson, M. Onitsuka
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Advances in Difference Equations, 2017 In this paper, we investigate four different types of Ulam stability, i.e., Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for a class of nonlinear implicit fractional ...
Akbar Zada, Sartaj Ali, Yongjin Li
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Practical Ulam-Hyers-Rassias stability for nonlinear equations [PDF]
Mathematica Bohemica, 2017 In this paper, we offer a new stability concept, practical Ulam-Hyers-Rassias stability, for nonlinear equations in Banach spaces, which consists in a restriction of Ulam-Hyers-Rassias stability to bounded subsets.
Jin Rong Wang, Michal Fečkan
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Periodic solutions and Hyers-Ulam stability of atmospheric Ekman flows
Discrete and Continuous Dynamical Systems. Series A, 2021 In this paper, we study the classical problem of the wind in the steady atmospheric Ekman layer with constant eddy viscosity. Different from the well-known homogeneous system in [ 14 , 20 ], we retain the turbulent fluxes and establish a new ...
Y. Guan, Michal Feckan, Jinrong Wang
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Boundary Value Problems, 2019 This paper deals with the existence of solution for an impulsive Riemann–Liouville fractional neutral functional stochastic differential equation with infinite delay of order ...
Yuchen Guo, X. Shu, Yongjin Li, Fei Xu
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Controllability and Hyers–Ulam Stability of Fractional Systems with Pure Delay
Fractal and Fractional, 2022 Linear and nonlinear fractional-delay systems are studied. As an application, we derive the controllability and Hyers–Ulam stability results using the representation of solutions of these systems with the help of their delayed Mittag–Leffler matrix ...
B. Almarri +2 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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Controllability and Hyers–Ulam Stability of Differential Systems with Pure Delay
Mathematics, 2022 Dynamic systems of linear and nonlinear differential equations with pure delay are considered in this study. As an application, the representation of solutions of these systems with the help of their delayed Mittag–Leffler matrix functions is used to ...
Ahmed M. Elshenhab, Xingtao Wang
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Boundary Value Problems, 2021 In this work, we investigate the existence, uniqueness, and stability of fractional differential equation with multi-point integral boundary conditions involving the Caputo fractional derivative.
Mehboob Alam +5 more
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Journal of Mathematics, 2021 In this article, we investigate the existence, uniqueness, and different kinds of Ulam–Hyers stability of solutions of an impulsive coupled system of fractional differential equations by using the Caputo–Katugampola fuzzy fractional derivative.
Leila Sajedi +2 more
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