Multivalued nonlinear dominated mappings on a closed ball and associated numerical illustrations with applications to nonlinear integral and fractional operators. [PDF]
Rasham T +3 more
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Hyers–Ulam and Hyers–Ulam–Rassias Stability of First-Order Nonlinear Dynamic Equations
We investigate Hyers-Ulam and Hyers-Ulam-Rassias stability of first-order nonlinear dynamic equations for functions defined on a time scale with values in a Banach ...
Martin Bohner +2 more
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Hyers–Ulam–Rassias stability of a linear recurrence
In this paper we give a Hyers–Ulam–Rassias stability result for the first order linear recurrence in Banach ...
Dorian Popa
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Ulam‐Hyers‐Rassias stability for generalized fractional differential equations
Mathematical Methods in the Applied Sciences, 2021In this paper, we present a generalized Gronwall inequality with singularity. Using this inequality, we investigate the existence, uniqueness, and Ulam‐Hyers‐Rassias stability for solutions of a class of generalized nonlinear fractional differential equations of order α (1 < α < 2). In this way, we improve and generalize several earlier outcomes.
Djalal Boucenna +3 more
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Hyers–Ulam–Rassias Stability of a Jensen Type Functional Equation
In this paper we solve the Jensen type functional equation (1.1).
Tiberiu Trif
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β–Hyers–Ulam–Rassias Stability of Semilinear Nonautonomous Impulsive System
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 ...
Xiaoming Wang, , Akbar Zada
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Hyers–Ulam–Rassias Stability of an Equation of Davison
In this work the Hyers–Ulam–Rassias stability of the Davison functional equation f(xy)+f(x+y)=f(xy+x)+f(y) is ...
Soon-Mo Jung, Prasanna K Sahoo
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A class of impulsive nonautonomous differential equations and Ulam–Hyers–Rassias stability
Mathematical Methods in the Applied Sciences, 2014In this paper, we study a model described by a class of impulsive nonautonomous differential equations. This new impulsive model is more suitable to show dynamics of evolution processes in pharmacotherapy than the classical one. We apply Krasnoselskii's fixed point theorem to obtain existence of solutions.
Wang, JinRong, Lin, Zeng
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On the $$\beta $$ β -Ulam–Hyers–Rassias stability of nonautonomous impulsive evolution equations
Journal of Applied Mathematics and Computing, 2014This paper deals with the \(\beta\)-Ulam-Hyers-Rassias stability of nonautonomous impulsive evolution equations. Firstly, the concept of this stability is given and some existence results of nonautonomous impulsive evolution equations are obtained on a compact interval and an unbounded interval.
Yu, Xiulan, Wang, Jinrong, Zhang, Yuruo
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