Results 21 to 30 of about 3,088,117 (225)
Hyers‐Ulam Stability of Polynomial Equations [PDF]
Abstract and Applied Analysis, 2010 We prove the Hyers‐Ulam stability of the polynomial equation anxn + an−1xn−1 + ⋯+a1x + a0 = 0. We give an affirmative answer to a problem posed by Li and Hua (2009).
Bidkham, M. +2 more
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Complex, 2022 In this paper, we study the uniqueness and existence of the solutions of four types of non‐singular delay difference equations by using the Banach contraction principles, fixed point theory, and Gronwall’s inequality.
Sawitree Moonsuwan +5 more
semanticscholar +1 more source
Advances in Difference Equations, 2021 In this paper, we investigate the existence and uniqueness of a solution for a class of ψ-Hilfer implicit fractional integro-differential equations with mixed nonlocal conditions.
Chatthai Thaiprayoon +2 more
doaj +1 more source
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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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
semanticscholar +1 more source
Hyers–Ulam stability for hyperbolic random dynamics [PDF]
Fundamenta Mathematicae, 2021 We prove that small nonlinear perturbations of random linear dynamics admitting a tempered exponential dichotomy have a random version of the shadowing property. As a consequence, if the exponential dichotomy is uniform, we get that the random linear dynamics is Hyers-Ulam stable.
Backes, Lucas, Dragičević, Davor
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Hyers-Ulam-Rassias Stability for Linear and Semi-Linear Systems of Differential Equations [PDF]
مجلة جامعة النجاح للأبحاث العلوم الطبيعية, 2018 This paper considers Hyers-Ulam-Rassias Stability for Linear and Semi-Linear Systems of Differential Equations. We establish sufficient conditions of Hyers-Ulam-Rassias stability and Hyers-Ulam stability for linear and semi-linear systems of differential
Maher Qarawani
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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
Bouikhalene, Belaid +1 more
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Advances in Differential Equations, 2021 In this paper, we consider a new coupled system of fractional boundary value problems based on the thermostat control model. With the help of fixed point theory, we investigate the existence criterion of the solution to the given coupled system.
S. Etemad +4 more
semanticscholar +1 more source
Ulam-Hyers-Rassias Stability of Stochastic Functional Differential Equations via Fixed Point Methods
Journal of Function Spaces, 2021 The Ulam-Hyers-Rassias stability for stochastic systems has been studied by many researchers using the Gronwall-type inequalities, but there is no research paper on the Ulam-Hyers-Rassias stability of stochastic functional differential equations via ...
Abdellatif Ben Makhlouf +2 more
doaj +1 more source