On Ulam stability of a third order linear difference equation in Banach spaces
Sign Up to like & getrecommendations! Published in 2020 at "Aequationes Mathematicae"
DOI: 10.1007/s00010-020-00722-5
Abstract: We obtain a result on Ulam stability and on the best Ulam constant for the linear difference equation $$x_{n+3}=ax_{n+2}+bx_{n+1}+c x_n,$$$$a,b,c \in \mathbb {K}$$, where $$\mathbb {K}$$ is one of the fields $$\mathbb {R}$$ or $$\mathbb… read more here.
Keywords: difference equation; linear difference; ulam stability;
The Ulam Stability Problem for the Functional Equation $$f(x\star g(y))=f(x)f(y)$$
Sign Up to like & getrecommendations! Published in 2020 at "Results in Mathematics"
DOI: 10.1007/s00025-020-01188-2
Abstract: We present a solution of Ulam’s stability problem for the functional equation $$f(x\star g(y))=f(x)f(y)$$f(x⋆g(y))=f(x)f(y) with vector-valued map f. read more here.
Keywords: stability problem; problem functional; math; mml ... See more keywords
The Hyers–Ulam stability of an additive-quadratic s-functional inequality in Banach spaces
Sign Up to like & getrecommendations! Published in 2021 at "Ricerche di Matematica"
DOI: 10.1007/s11587-021-00648-3
Abstract: For any fixed $$s \in \left\{ z \in \mathbb {C} : z \ne 0 \text { and } |z| read more here.
Keywords: functional inequality; bigg; ulam stability; hyers ulam ... See more keywords
Ulam stability of bihomomorphisms and biderivations in Banach algebras
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DOI: 10.1007/s11784-020-0766-z
Abstract: Using the fixed point method and the direct method, we prove the Hyers–Ulam stability of biderivations and bihomomorphisms in Banach algebras and unital $$C^*$$ C ∗ -algebras, associated with the bi-additive functional inequality: 1 $$\begin{aligned}&\Vert… read more here.
Keywords: bihomomorphisms biderivations; banach algebras; stability bihomomorphisms; biderivations banach ... See more keywords
Boundedness, Compactness and the Hyers–Ulam Stability of a Linear Combination of Differential Operators
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DOI: 10.1007/s11785-019-00972-5
Abstract: Let $$\lambda _1, \lambda _2 \ldots \lambda _{n-1}$$ λ 1 , λ 2 … λ n - 1 are non-zero complex numbers, $$\lambda _n$$ λ n a complex number, n a positive integer, $$D^n$$ D… read more here.
Keywords: lambda lambda; beta; hyers ulam; differential ... See more keywords
On the Hyers–Ulam stability of Riemann–Liouville multi-order fractional differential equations
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DOI: 10.1007/s13370-019-00701-3
Abstract: In this paper, by using a Bielecki’s type norm and Banach fixed point theorem, we obtain a result on the Hyers–Ulam stability of Riemann–Liouville multi-order fractional differential equations. read more here.
Keywords: hyers ulam; stability riemann; ulam stability; liouville multi ... See more keywords
Hyers–Ulam Stability of a Class Second Differential Equation $$y''(x)+p(x)y'(x)+q(x)y(x)=F(y(x))$$y′′(x)+p(x)y′(x)+q(x)y(x)=F(y(x))
Sign Up to like & getrecommendations! Published in 2017 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-017-0454-3
Abstract: In this paper, we study the Hyers–Ulam–Rassias stability and Hyers–Ulam stability for a class second differential equation $$\begin{aligned} y''(x)+p(x)y'(x)+q(x)y(x)=F(y(x)) \end{aligned}$$y′′(x)+p(x)y′(x)+q(x)y(x)=F(y(x))by a generalized fixed point theorem. Moreover, we show that the differential equation $$\begin{aligned} y'(x)=F(x,y(x)) \end{aligned}$$y′(x)=F(x,y(x))has… read more here.
Keywords: differential equation; stability class; hyers ulam; stability ... See more keywords
On Ulam’s Stability for a Coupled Systems of Nonlinear Implicit Fractional Differential Equations
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DOI: 10.1007/s40840-018-0625-x
Abstract: In this manuscript, we study the existence, uniqueness and various kinds of Ulam stability including Ulam–Hyers stability, generalized Ulam–Hyers stability, Ulam–Hyers–Rassias stability and generalized Ulam–Hyers–Rassias stability of the solutions to a nonlinear coupled systems of… read more here.
Keywords: fractional differential; ulam stability; implicit fractional; stability ... See more keywords
Ulam Stability of Jensen Functional Inequality on a Class of Noncommutative Groups
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DOI: 10.1155/2023/6674969
Abstract: In the paper, we introduce new ρ -functional inequalities related to the Jensen functional equation and some properties. The Hyers-Ulam stability of functional inequalities is proved. read more here.
Keywords: jensen functional; stability jensen; ulam stability; inequality class ... See more keywords
Ulam stability results to a class of nonlinear implicit boundary value problems of impulsive fractional differential equations
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DOI: 10.1186/s13662-018-1940-0
Abstract: In this paper, we derive some sufficient conditions which ensure the existence and uniqueness of a solution for a class of nonlinear three point boundary value problems of fractional order implicit differential equations (FOIDEs) with… read more here.
Keywords: class nonlinear; ulam stability; differential equations; boundary value ... See more keywords
Hyers–Ulam stability of linear fractional differential equations with variable coefficients
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DOI: 10.1186/s13662-020-02863-y
Abstract: Motivated by Shen et al., we apply the Gronwall’s inequality to establish the Hyers–Ulam stability of two types (Riemann–Liouville and Caputo) of linear fractional differential equations with variable coefficients under certain conditions. read more here.
Keywords: equations variable; linear fractional; fractional differential; differential equations ... See more keywords