Results 1 to 10 of about 111 (111)
Hyers‐Ulam‐Rassias‐Wright Stability for Fractional Oscillation Equation [PDF]
Discrete Dynamics in Nature and Society, 2022 In this paper, we consider the nonhomogeneous fractional delay oscillation equation with order σ and introduce a class of control functions, i.e., Wright functions. Next, we apply the Cădariu‐Radu method to prove the existence of a unique solution and Hyers‐Ulam‐Rassias‐Wright stability of the fractional delay oscillation equation.
Zahra Eidinejad, Reza Saadati
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Hyers-Ulam-Rassias stability of (m, n)-Jordan derivations [PDF]
Open Mathematics, 2020 Abstract In this paper, we study the Hyers-Ulam-Rassias stability of ( m , n ) (m ...
An Guangyu, Yao Ying
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Hyers–Ulam–Rassias Stability of Hermite’s Differential Equation
Mathematics, 2022 In this paper, we studied the Hyers–Ulam–Rassias stability of Hermite’s differential equation, using Pachpatte’s inequality. We compared our results with those obtained by Blaga et al. Our estimation for zx−yx, where z is an approximate solution and y is an exact solution of Hermite’s equation, was better than that obtained by the authors previously ...
Daniela Marian +2 more
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Hyers‐Ulam‐Rassias stability of generalized derivations [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 The generalized Hyers‐Ulam‐Rassias stability of generalized derivations on unital Banach algebras into Banach bimodules is established.
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Hyers–Ulam–Rassias Stability of Additive Mappings in Fuzzy Normed Spaces [PDF]
Journal of Mathematics, 2021 In this paper, the Hyers–Ulam–Rassias stabilities of two functional equations, f a x + b y
Jianrong Wu, Lingxiao Lu
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Hyers-Ulam-Rassias Stability of a General Septic Functional Equation
Journal of Advances in Mathematics and Computer Science, 2022 In this paper, we investigate the stability of the following general septic functional equation: \(\sum_{i=0}^8{ }_8 C_i(-1)^{8-i} f(x+(i-4) y)=0\)which is a generalization of many functional equations such as the additive functional equation, the quadratic functional equation, the cubic ...
Jin, Sun-Sook, Lee, Yang-Hi
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On Hyers–Ulam–Rassias Stability of the Pexider Equation
Journal of Mathematical Analysis and Applications, 1999 Let \((G,+)\) be an abelian group, \((X,\|\cdot\|)\) be a Banach space and \(f,g,h:G\rightarrow X\) be mappings. An equation \(f(x+y)=g(x)+h(y)\) is called a Pexider functional equation. In the paper the stability of that equation in the spirit of Hyers-Ulam-Rassias is considered. The main theorem is the following: Let \(\varphi:G\times G\rightarrow[0,\
Jun, Kil-Woung +2 more
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HYERS-ULAM-RASSIAS STABILITY OF A QUADRATIC TYPE FUNCTIONAL EQUATION [PDF]
Bulletin of the Korean Mathematical Society, 2003 The authors prove that if a function \(f\), from a real vector space \(X\) into a real vector space \(Y\), satisfies the function equation \[ \begin{multlined} Df(x,y,z):= a^2 f\Biggl({x+ y+ z\over a}\Biggr)+ a^2 f\Biggl({x- y+z\over a}\Biggr)+ a^2 f\Biggl({x+ y-z\over a}\Biggr)\\ +a^2 f\Biggl({-x+ y+z\over a}\Biggr)- 4f(x)- 4f(y)- 4f(z)= 0\end ...
Lee, Sang Han, Jun, Kil-Woung
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Monotone iterative techniques together with Hyers‐Ulam‐Rassias stability
Mathematical Methods in the Applied Sciences, 2019 In this article, the first purpose is treating a coupled system of nonlinear boundary value problems (BVPs) of fractional‐order differential equations (FODEs) for existence of solutions. The corresponding fractional‐order derivative is taken in Riemann‐Liouville sense. The require results for iterative solutions are obtained by using monotone iterative
Kamal Shah +4 more
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Hyers–Ulam–Rassias Stability of an Equation of Davison
Journal of Mathematical Analysis and Applications, 1999 Let \(E_1\) be a normed algebra with a unit element, \(E_2\) be a Banach space and let \(f:E_1\rightarrow E_2\). In the paper the Hyers-Ulam-Rassias stability of the Davison functional equation \[ f(xy)+f(x+y)=f(xy+x)+f(y) \] is proved. As a consequence of the main theorem the authors obtain among others the following: Let \(\varepsilon\geq 0\) and \(p\
Jung, Soon-Mo, Sahoo, Prasanna K
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