Hyers-Ulam stability
Hyers Ulam stability of the first order matrix difference equations
... the Hyers-Ulam stability of the first-order matrix difference equations has been proved in [] in a general ...the stability problems for the ‘backward’ difference equations have been treated in ...
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Fuzzy Hyers Ulam stability of an additive functional equation
... Proof. The proof follows from Theorem 2.3 by taking (x, y, z): = θ(||x|| p · ||y|| p · || z|| p ) for all x, y, z Î X. Then we can choose L = 2 -3p and we get the desired result. □ 2.2. Direct method. In this subsection, ...
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Hyers Ulam stability of Butler Rassias functional equation
... Taking this fact into account, the additive Cauchy functional equation f (x + y) = f (x) + f (y) is said to have the Hyers-Ulam stability. This terminology is also applied to the case of other ...
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Hyers Ulam stability of functional equations in matrix normed spaces
... A Hyers-Ulam stability problem for the quadratic functional equation was proved by Skof [] for mappings f : X → Y , where X is a normed space and Y is a Banach ...the Hyers-Ulam ...
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Bessel's Differential Equation and Its Hyers Ulam Stability
... We solve the inhomogeneous Bessel differential equation and apply this result to obtain a partial solution to the Hyers-Ulam stability problem for the Bessel di ff erential equation. Copyright © 2007 ...
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Hyers Ulam Stability of Nonhomogeneous Linear Differential Equations of Second Order
... In connection with the stability of exponential functions, Alsina and Ger 6 remarked that the differential equation y y has the Hyers-Ulam stability. More explicitly, they proved that if a ...
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On the Asymptoticity Aspect of Hyers Ulam Stability of Quadratic Mappings
... the Hyers-Ulam stability for additive and quadratic mappings on restricted domains see also ...the Hyers-Ulam stability of mixed type mappings on restricted ...of Hyers- ...
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Hyers Ulam stability of the linear recurrence with constant coefficients
... by Hyers [5] in 1941 who proved that the Cauchy equation is stable in Banach ...of Hyers-Ulam stability of functional ...in Hyers-Ulam sense if for every solution of the ...
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Hyers-Ulam stability of Volterra integral equation
... the Hyers–Ulam stability of the non homogeneous linear Volterra integral equation ...the Hyers–Ulam stability under some appropriate ...
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Hyers Ulam Stability of a Generalized Second Order Nonlinear Differential Equation
... “Hyers-Ulam Stability of Nonhomo- geneous Linear Differential Equations of Second Order,” International Journal of Mathematics and Mathematical Sciences, ...“Hyers-Ulam Stability ...
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HYERS-ULAM STABILITY OF A PERTURBED GENERALISED LIENARD EQUATION
... and stability properties of solutions of generalized Lienard ...the Hyers-Ulam stability of the perturbed generalized Received: February 20, 2019 c 2019 Academic ...
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On Hyers-Ulam Stability for Nonlinear Differential Equations of nth Order
... the stability of linear differential equation of second order in the sense of the Hyers and Ulam y 00 = ...the stability of nonhomogeneous linear differential equation of second order in the ...
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A fixed point theorem and the Hyers Ulam stability in Riesz spaces
... The fixed point approach has been already applied in the investigation of the Hyers- Ulam stability, e.g., in [, , , –] and it seems that Baker (see []) has used this tool for the first time ...
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Invariance of Hyers Ulam stability of linear differential equations and its applications
... generalized Hyers-Ulam stability of linear differential equations of nth order (defined on I) is invariant under any monotone one-to-one correspondence τ : I → J which is n times continuously ...
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A generalized Hyers Ulam stability of a Pexiderized logarithmic functional equation in restricted domains
... The Hyers-Ulam stability problems of functional equations go back to 1940 when Ulam proposed a question concerning the approximate homomorphisms from a group to a metric group (see ...by ...
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Hyers Ulam Stability of Differential Equation
... the Hyers-Ulam stability or the local Hyers- Ulam stability if the domain I is not the whole space ...the Hyers-Ulam stability, refer to ...
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Hyers-Ulam Stability of Nonlinear Integral Equation
... the Hyers-Ulam stability under some appropriate ...hand, Hyers-Ulam stability constant obtained in our paper is different to the other works, ...
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Hyers ulam stability of exact second order linear differential equations
... the Hyers-Ulam stability of exact second-order linear differential ...the Hyers-Ulam stability of the following equations: second-order linear differential equation with constant ...
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Functional Equation and Its Hyers Ulam Stability
... Remark 3.2. The functional equation 1.7 is a particular case of the linear equations of higher orders and the Hyers-Ulam stability of the linear equations has been proved in 21, Theorem 2. Indeed, ...
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10. Generalized Hyers-Ulam stability of a 2-variable reciprocal functional equation
... Taking 𝐹 (𝑥, 𝑥) = 𝑓 (𝑥), 𝑅(𝑥, 𝑥) = 𝑟(𝑥) (where 𝑓 and 𝑟 are reciprocal functions) in (5.4) and (5.5), we obtain the inequalities (3.40) and (3.41) respectively in [4]. Result 5.3. The stability result obtained in ...
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