Results 101 to 110 of about 4,116 (221)
Demonstratio MathematicaIn this article, we apply the Fourier transform to prove the Hyers-Ulam and Hyers-Ulam-Rassias stability for the first- and second-order nonlinear differential equations with initial conditions.
Selvam Arunachalam +2 more
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Asian Journal of Control, Volume 28, Issue 1, Page 34-45, January 2026.Abstract We study a nonlinear ψ−$$ \psi - $$ Hilfer fractional‐order delay integro‐differential equation ( ψ−$$ \psi - $$ Hilfer FrODIDE) that incorporates N−$$ N- $$ multiple variable time delays. Utilizing the ψ−$$ \psi - $$ Hilfer fractional derivative ( ψ−$$ \psi - $$ Hilfer‐FrD), we investigate the Ulam–Hyers––Rassias (U–H–R), semi‐Ulam–Hyers ...
Cemil Tunç, Osman Tunç
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β–Hyers–Ulam–Rassias Stability of Semilinear Nonautonomous Impulsive System
, 2019 In this paper, we study a system governed by impulsive semilinear nonautonomous differential equations. We present the β –Ulam stability, β –Hyers–Ulam stability and β –Hyers–Ulam–Rassias ...
Muhammad Arif, Xiaoming Wang, Akbar Zada
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On the Stability of Nonautonomous Linear Impulsive Differential Equations
Journal of Function Spaces and Applications, 2013 We introduce two Ulam's type stability concepts for nonautonomous linear impulsive ordinary differential equations. Ulam-Hyers and Ulam-Hyers-Rassias stability results on compact and unbounded intervals are presented, respectively.
JinRong Wang, Xuezhu Li
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Fixed Points and Generalized Hyers‐Ulam Stability
Abstract and Applied Analysis, 2012 In this paper we prove a fixed‐point theorem for a class of operators with suitable properties, in very general conditions. Also, we show that some recent fixed‐points results in Brzdęk et al., (2011) and Brzdęk and Ciepliński (2011) can be obtained directly from our theorem. Moreover, an affirmative answer to the open problem of Brzdęk and Ciepliński
Cădariu, L. +2 more
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Hyers-Ulam stability of n th order linear differential equation
, 2019 In this paper, we investigate the Hyers-Ulam stability and Hyers-Ulam-Rassias stability of the homogeneous linear differential equation of nth order with initial and boundary conditions by using Taylor’s Series ...
Murali, R., Selvan, A. Ponmana
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Hyers-Ulam Stability of the First-Order Matrix Differential Equations [PDF]
, 2015 We prove the generalized Hyers-Ulam stability of the first-order linear homogeneous matrix differential equations y→'(t)=A(t)y→(t). Moreover, we apply this result to prove the generalized Hyers-Ulam stability of the nth order linear differential ...
Soon-Mo Jung
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, 2016 We propose a new approach called Hyers-Ulam programming to discriminate whether a generalized linear functional equation, with the form for functions from a normed space into a Banach space, has the Hyers-Ulam stability or not. Our main result is that if
Zhang, Dong
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Survey on Recent Ulam Stability Results Concerning Derivations [PDF]
, 2016 This is a survey presenting the most significant results concerning approximate (generalized) derivations, motivated by the notions of Ulam and Hyers-Ulam stability.
Liviu Cădariu +4 more
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