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Hyers-Ulam and Hyers-Ulam-Rassias Stability for a Class of Integro-Differential Equations [PDF]
, 2018 We analyse different kinds of stabilities for a class of very general nonlinear integro-differential equations of Volterra type within appropriate metric spaces. Sufficient conditions are obtained in view to guarantee Hyers-Ulam stability and Hyers-Ulam-Rassias stability for such a class of integro-differential equations. We will consider the different
Castro, L. P., Simões, A. M.
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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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Hyers-Ulam stability of Flett's points
Applied Mathematics Letters, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Das, Thomas Riedel, Prasanna K. Sahoo
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Hyers–Ulam stability for a nonlinear iterative equation [PDF]
Colloquium Mathematicum, 2002 Hyers-Ulam stability of the nonlinear iterative functional equation \(G(f^{n_1}(x), \dots, f^{n_k}(x)) =F(x)\) is considered. \(F\) is assumed to be given and \(f\) an unknown function. Both \(F\) and \(f\) are self-maps of \(I\), a subset of a Banach space; \(G:I^k\to I\), where, as usual, \(I^k=I\times \cdots\times I\), \(f^0(x)=x\), \(f^{i+1}(x) =f ...
Xu, Bing, Zhang, Weinian
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On a general Hyers‐Ulam stability result
International Journal of Mathematics and Mathematical Sciences, 1995 In this paper, we prove two general theorems about Hyers‐Ulam stability of functional equations. As particular cases we obtain many of the results published in the last ten years on the stability of the Cauchy and quadratic equation.
Costanz Borelli, Gian Luigi Forti
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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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Hyers‐Ulam‐Rassias stability of generalized derivations [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 The generalized Hyers‐Ulam‐Rassias stability of generalized derivations on unital Banach algebras into Banach bimodules is established.
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Hyers–Ulam stability for a partial difference equation
Electronic Journal of Qualitative Theory of Differential Equations, 2021 Summary: Under the exponential trichotomy condition we study the Hyers-Ulam stability for the linear partial difference equation: \[ x_{n+1,m}=A_nx_{n,m}+B_{n,m}x_{n,m+1}+f(x_{n,m}),\qquad n,m\in \mathbb{Z} \] where \(A_n\) is a \(k\times k\) matrix whose elements are sequences of \(n\), \(B_{n,m}\) is a \(k\times k\) matrix whose elements are double ...
Konstantinos Konstantinidis +2 more
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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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Hyers–Ulam stability of zeros of polynomials
Applied Mathematics Letters, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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