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Hyers–Ulam stability with respect to gauges
Journal of Mathematical Analysis and Applications, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Brzdęk, Janusz +2 more
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Advances in Difference Equations, 2020 Some essential conditions for existence theory and stability analysis to a class of boundary value problems of fractional delay differential equations involving Atangana–Baleanu-Caputo derivative are established. The deserted results are derived by using
Gauhar Ali +5 more
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On the Hyers-Ulam Stability of Linear Mappings
Journal of Mathematical Analysis and Applications, 1993 Let \(H\) be a monotonically increasing symmetric homogeneous function of degree \(p\), where \(p\in (0,\infty)\backslash\{1\}\). Let \(f\) be a mapping from a real normed space \(X\) into a real Banach space \(Y\). Assume that \[ \| f(x+ y)- f(x)- f(y)\|\leq H(\| x\| \| y\|)\quad \forall x,\;y\in X. \] The authors proved that \[ T(x)=\lim_{n\to\infty}
Rassias, T.M., Semrl, P.
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Hyers–Ulam stability of derivations and linear functions [PDF]
Aequationes mathematicae, 2010 9 pages; published in Aequationes Mathematicae in ...
Boros, Zoltán, Gselmann, Eszter
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Advances in Difference Equations, 2020 This paper is concerned with a class of impulsive implicit fractional integrodifferential equations having the boundary value problem with mixed Riemann–Liouville fractional integral boundary conditions. We establish some existence and uniqueness results
Akbar Zada +3 more
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Hyers–Ulam stability and discrete dichotomy
Journal of Mathematical Analysis and Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dorel Barbu +2 more
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Hyers‐Ulam Stability of Power Series Equations [PDF]
Abstract and Applied Analysis, 2011 We prove the Hyers‐Ulam stability of power series equation , whereanforn= 0, 1, 2, 3, … can be real or complex.
Bidkham, M. +2 more
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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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A Generalized ML-Hyers-Ulam Stability of Quadratic Fractional Integral Equation
Nonlinear Engineering, 2021 An interesting quadratic fractional integral equation is investigated in this work via a generalized Mittag-Leffler (ML) function. The generalized ML–Hyers–Ulam stability is established in this investigation.
Kaabar Mohammed K. A. +5 more
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Ulam-Hyers stability of a parabolic partial differential equation
Demonstratio Mathematica, 2019 The goal of this paper is to give an Ulam-Hyers stability result for a parabolic partial differential equation. Here we present two types of Ulam stability: Ulam-Hyers stability and generalized Ulam-Hyers-Rassias stability.
Marian Daniela +2 more
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