Results 91 to 100 of about 814 (188)
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2019 In this manuscript, we study the existence, uniqueness and various kinds of Ulam stability including Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability, and generalized Ulam-Hyers-Rassias stability of the solution to an ...
Akbar Zada, Hira Waheed
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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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On a singular case in the Hyers–Ulam–Rassias stability of the Wigner equation
Journal of Mathematical Analysis and Applications, 2004 The author considers the Hyers-Ulam-Rassias stability of the Wigner equation in Hilbert spaces basing on a paper by \textit{J. Chmieliński} and \textit{S.-M. Jung} [ibid. 254, 309--320 (2001; Zbl 0971.39016)] and a preprint by \textit{S.-M. Jung}. Let \(E\), \(F\) be real or complex Hilbert spaces and \(f: E\to F\) satisfy that \[ ||\langle f(x)| f(y ...
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On the Hyers-Ulam-Rassias Stability of the Bi-Jensen Functional Equation
Kyungpook mathematical journal, 2008 In this paper, we obtain the Hyers–Ulam–Rassias stability of a bi-Pexider functional equation $$f(x + y,z + w) = {f}_{1}(x,z) + {f}_{2}(x,w) + {f}_{3}(y,z) + {f}_{4}(y,w)$$ in the sense of Th.M. Rassias. Also, we establish the superstability of a bi-Jensen functional equation.
Yang-Hi Lee, Mi-Hyen Han, Kil-Woung Jun
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Generalized β-Hyers-Ulam-Rassias Stability of Impulsive Difference Equations. [PDF]
Comput Intell Neurosci, 2022 Almalki Y +5 more
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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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AIMS MathematicsIn this paper, we study the existence and uniqueness of solutions for a coupled system of Hilfer-Hadamard sequential fractional differential equations with multi-point Riemann-Liouville fractional integral boundary conditions via standard fixed point ...
Ugyen Samdrup Tshering +2 more
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Ulam-Hyers Stability and Ulam-Hyers-Rassias Stability for Fuzzy Integrodifferential Equation
Complexity, 2019 In this paper, we establish the Ulam-Hyers stability and Ulam-Hyers-Rassias stability for fuzzy integrodifferential equations by using the fixed point method and the successive approximation method.
Nguyen Ngoc Phung, Bao Quoc Ta, Ho Vu
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On the Hyers–Ulam–Rassias stability of generalized quadratic mappings in Banach modules
Journal of Mathematical Analysis and Applications, 2004 Let \(X,Y\) be Banach modules over a Banach \(\ast\)-algebra \(A\). A mapping \(Q:X\to Y\) is called \(A\)-quadratic if it satisfies \[ Q(x+y)+Q(x-y)=2Q(x)+2Q(y)\quad \text{and}\quad Q(ax)=aQ(x)a^{\ast} \] for all \(a\in A\), \(x,y\in X\). Two types of generalized \(A\)-quadratic mappings are considered and for both of them the stability is proved. The
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A GENERALIZATION OF THE HYERS-ULAM-RASSIAS STABILITY OF A FUNCTIONAL EQUATION OF DAVISON
Journal of the Korean Mathematical Society, 2004 The functional equation \(f(xy)+f(x+y)=f(xy+x)+f(y)\) was introduced by \textit{T. M. K. Davison} [Problem 191R1. Aequationes Math. 20, 306 (1980)]. Its general solution was recently given by \textit{R. Girgensohn} and \textit{K. Lajkó} [ibid. 60, No.~3, 219--224 (2000; Zbl 0970.39017)].
Soon-Mo Jung, Yang-Hi Lee, Kil-Woung Jun
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