Results 171 to 180 of about 2,732 (205)

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

open access: yesQualitative 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   +2 more
exaly   +2 more sources

Hyers–Ulam–Rassias stability of a linear recurrence

open access: yesJournal 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 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   +3 more
openaire   +2 more sources

Hyers–Ulam–Rassias Stability of a Jensen Type Functional Equation

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

β–Hyers–Ulam–Rassias Stability of Semilinear Nonautonomous Impulsive System

open access: yesSymmetry, 2019
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
exaly   +2 more sources

Hyers–Ulam–Rassias Stability of an Equation of Davison

open access: yesJournal 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 ...
Soon-Mo Jung, Prasanna K Sahoo
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

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