Results 181 to 190 of about 2,159,027 (204)
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Ulam–Hyers–Rassias stability problem for several kinds of mappings
Afrika Matematika, 2012Let \(f\) maps a (topological) vector space into a Banach space and let \(\alpha,\beta\) be given scalars. The stability of functional equations of the form \[ f(\alpha(x+y))+f(\beta(x-y))=(\alpha+\beta)f(x)+(\alpha-\beta)f(y) \] is considered.
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Afrika Matematika, 2022
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Bouazza, Zoubida +2 more
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Bouazza, Zoubida +2 more
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Ulam-Hyers-Rassias stability for stochastic integral equations of Volterra type
2019In this paper, we study the Ulam--Hyers--Rassias stability for stochastic integral equations of Volterra type by using fixed point theorem and Pachpatte's inequality.
Ho, Vu, Dong, Le Si
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Ulam-Hyers-Rassias stability of some quasilinear partial differential equations of first order
Carpathian Journal of Mathematics, 2019In this paper we investigate the Ulam-Hyers-Rassias stability for some quasilinear partial differential equations.
NICOLAIE LUNGU, DANIELA MARIAN
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Systems & Control Letters
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Qinyi Long +3 more
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Qinyi Long +3 more
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The Journal of Analysis
The authors analyze an integro-differential equation of Volterra-Fredholm type with delay. The Banach contraction principle is used to deduce sufficient conditions for the existence and uniqueness of the solution, as well as to study Ulam-Hyers-Rassias and Ulam-Hyers stabilities.
Bapan Ali Miah +4 more
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The authors analyze an integro-differential equation of Volterra-Fredholm type with delay. The Banach contraction principle is used to deduce sufficient conditions for the existence and uniqueness of the solution, as well as to study Ulam-Hyers-Rassias and Ulam-Hyers stabilities.
Bapan Ali Miah +4 more
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International Journal of Theoretical Physics
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Kundu, Sunil, Bora, Swaroop Nandan
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Kundu, Sunil, Bora, Swaroop Nandan
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Ulam-Hyers-Rassias Stability for Semilinear Equations
The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity, 2014Jinrong Wang, Michal Feckan
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Mathematica Slovaca
Abstract In this paper, we investigate the Ulam-Hyers-Rassias stability of non-local problems for differential equations with Caputo fractional derivatives involving deviating arguments on unbounded intervals. By applying the Banach fixed-point theorem, we establish conditions for the existence and uniqueness of mild solutions within ...
Natalia Dilna, Martina Langerová
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Abstract In this paper, we investigate the Ulam-Hyers-Rassias stability of non-local problems for differential equations with Caputo fractional derivatives involving deviating arguments on unbounded intervals. By applying the Banach fixed-point theorem, we establish conditions for the existence and uniqueness of mild solutions within ...
Natalia Dilna, Martina Langerová
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A Generalization of the Hyers–Ulam–Rassias Stability of Jensen's Equation
Journal of Mathematical Analysis and Applications, 1999Yang-Hi Lee, Kil-Woung Jun
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