Results 171 to 180 of about 2,159,027 (204)

Ulam–Hyers–Rassias stability of neutral stochastic functional differential equations

Stochastics, 2022
In this paper, by using the Gronwall inequality, we show two new results on the UlamHyers and the Ulam-Hyers-Rassias stabilities of neutral stochastic functional differential equations. Two examples illustrating our results are exhibited.
Mohamed Rhaimá, Lassaad Mchiri, Tomáš Caraballo   +2 more
exaly   +4 more sources

Hyers–Ulam and Hyers–Ulam–Rassias Stability of First-Order Nonlinear Dynamic Equations

Qualitative Theory of Dynamical Systems, 2021
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, Alaa E Hamza, Bohner Martin   +2 more
exaly   +2 more sources

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Ulam‐Hyers‐Rassias stability for generalized fractional differential equations

Mathematical Methods in the Applied Sciences, 2021
In 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, Abdellatif Ben Makhlouf, El‐sayed El‐hady, Mohamed Ali Hammami   +3 more
openaire   +2 more sources

Hyers–Ulam–Rassias stability of a linear recurrence [PDF]

Journal of Mathematical Analysis and Applications, 2005
In this paper we give a Hyers–Ulam–Rassias stability result for the first order linear recurrence in Banach ...
Dorian Popa
exaly   +2 more sources

Ulam–Hyers–Rassias Stability for a Class of Fractional Integro-Differential Equations [PDF]

Results in Mathematics, 2018
16 ...
J Vanterler Da C Sousa, Sousa J Vanterler DA C, De Oliveira E Capelas   +2 more
exaly   +4 more sources

Hyers–Ulam–Rassias Stability of a Jensen Type Functional Equation [PDF]

Journal of Mathematical Analysis and Applications, 2000
In this paper we solve the Jensen type functional equation (1.1).
Tiberiu Trif
exaly   +2 more sources

Hyers–Ulam–Rassias Stability of an Equation of Davison [PDF]

Journal of Mathematical Analysis and Applications, 1999
In this work the Hyers–Ulam–Rassias stability of the Davison functional equation f(xy)+f(x+y)=f(xy+x)+f(y) is ...
Prasanna Sahoo, Soon-Mo Jung
exaly   +2 more sources

A class of impulsive nonautonomous differential equations and Ulam–Hyers–Rassias stability

Mathematical Methods in the Applied Sciences, 2014
In 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
openaire   +1 more source

On the $$\beta $$ β -Ulam–Hyers–Rassias stability of nonautonomous impulsive evolution equations

Journal of Applied Mathematics and Computing, 2014
This 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
openaire   +2 more sources

Ulam–Hyers–Rassias Mittag–Leffler stability for the Darboux problem for partial fractional differential equations

Rocky Mountain Journal of Mathematics, 2021
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Makhlouf, Abdellatif Ben, Boucenna, Djalal   +1 more
openaire   +1 more source