Results 121 to 130 of about 6,753 (236)

HYERS-ULAM-RASSIAS STABILITY OF A CUBIC FUNCTIONAL EQUATION [PDF]

Bulletin of the Korean Mathematical Society, 2007
In this paper, we will find out the general solution and investigate the generalized Hyers-Ulam-Rassias stability problem for the following cubic functional equation 3f(x+3y)+f(3x-y)=15f(x+y)+15f(x-y)+80f(y). The concept of Hyers-Ulam-Rassias stability originated from Th. M. Rassias# stability theorem that appeared in his paper: On the stability of the
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Ulam’s stability for some linear conformable fractional differential equations

Advances in Difference Equations, 2020
In this paper, by introducing the concepts of Ulam type stability for ODEs into the equations involving conformable fractional derivative, we utilize the technique of conformable fractional Laplace transform to investigate the Ulam–Hyers and Ulam–Hyers ...
Sen Wang, Wei Jiang, Jiale Sheng, Rui Li
doaj   +1 more source

Hyers–Ulam–Rassias stability of homomorphisms in quasi-Banach algebras

Bulletin des Sciences Mathématiques, 2008
The author investigates the Hyers-Ulam stability problem of homomorphisms between quasi-Banach algebras. According to the main results, under suitable requirements, an ``approximate'' homomorphism of a quasi-Banach algebra is ``close'' to a homomorphism; moreover, similarly to the classical case, the homomorphism is generated by the Hyers-iteration. As
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Hyers–Ulam–Rassias Stability of a Jensen Type Functional Equation

Journal of Mathematical Analysis and Applications, 2000
The author studies the Hyers-Ulam-Rassias stability of a Jensen type functional equation \[ 3f((x+y+z)/3)+ f(x)+ f(y)+ f(z)= 2[ f((x+y)/2)+ f((y+z)/2)+ f((z+x)/2)]. \] The main result of this paper is the following: If the function \(f: X\to Y\) satisfies \[ \begin{multlined}\|3 f((x+y+z)/3)+ f(x)+ f(y)+ f(z)- 2[f((x+y)/2)+ f((y+z)/2)+ f((z+x)/2)]\|\\ \
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On the Stability of Nonautonomous Linear Impulsive Differential Equations

Journal of Function Spaces and Applications, 2013
We introduce two Ulam's type stability concepts for nonautonomous linear impulsive ordinary differential equations. Ulam-Hyers and Ulam-Hyers-Rassias stability results on compact and unbounded intervals are presented, respectively.
JinRong Wang, Xuezhu Li
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Existence and stability results for a coupled system of Hilfer-Hadamard sequential fractional differential equations with multi-point fractional integral boundary conditions

AIMS Mathematics
In this paper, we study the existence and uniqueness of solutions for a coupled system of Hilfer-Hadamard sequential fractional differential equations with multi-point Riemann-Liouville fractional integral boundary conditions via standard fixed point ...
Ugyen Samdrup Tshering, Ekkarath Thailert, Sotiris K. Ntouyas   +2 more
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Ulam-Hyers Stability and Ulam-Hyers-Rassias Stability for Fuzzy Integrodifferential Equation

Complexity, 2019
In this paper, we establish the Ulam-Hyers stability and Ulam-Hyers-Rassias stability for fuzzy integrodifferential equations by using the fixed point method and the successive approximation method.
Nguyen Ngoc Phung, Bao Quoc Ta, Ho Vu
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Generalized approximation Hyers-Ulam-Rassias type stability of generalized homomorphisms in quasi-Banach algebras

, 2022
Ly Van An
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On Approximation Solutions of the Cauchy-Jensen and the Additive-Quadratic Functional Equation in Paranormed Spaces

International Journal of Analysis and Applications, 2019
In this paper, we prove the generalized Hyers-Ulam-Rassias stability of the bi-Cauchy-Jensen functional equation and the bi-additive-quadratic functional equation in paranormed spaces.
Prondanai Kaskasem, Chakkrid Klin-eam
doaj   +2 more sources

Existence and Ulam stability for fractional differential equations of Hilfer-Hadamard type

Advances in Difference Equations, 2017
This article deals with some existence and Ulam-Hyers-Rassias stability results for a class of functional differential equations involving the Hilfer-Hadamard fractional derivative.
S Abbas, M Benchohra, JE Lagreg, A Alsaedi, Y Zhou   +4 more
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