Results 21 to 30 of about 29,994 (153)
A Remark for the Hyers–Ulam Stabilities on n-Banach Spaces
Axioms, 2020 In this article, we deal with stabilities of several functional equations in n-Banach spaces. For a surjective mapping f into a n-Banach space, we prove the generalized Hyers–Ulam stabilities of the cubic functional equation and the quartic functional ...
Jaeyoo Choy, Hahng-Yun Chu, Ahyoung Kim
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On the stability of the Pexiderized cubic functional equation in multi-normed spaces [PDF]
Sahand Communications in Mathematical Analysis, 2018 In this paper, we investigate the Hyers-Ulam stability of the orthogonally cubic equation and Pexiderized cubic equation [f(kx+y)+f(kx-y)=g(x+y)+g(x-y)+frac{2}{k}g(kx)-2g(x),]in multi-normed spaces by the direct method and the fixed point method ...
Mahdi Nazarianpoor, Ghadir Sadeghi
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On the stability of an n-dimensional cubic functional equation
Journal of Mathematical Analysis and Applications, 2007 A systematic study of fixed point theorems in nonlinear analysis is given by \textit{G. Isac} and \textit{Th. M. Rassias} [Int. J. Math. Math. Sci. 19, No. 2, 219--228 (1996; Zbl 0843.47036)]. Using the alternative fixed point theorem [see \textit{J. B. Diaz} and \textit{B. Margolis}, Bull. Am. Math. Soc.
Chu, Hahng-Yun, Kang, Dong Seung
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A functional equation characterizing cubic polynomials and its stability
International Journal of Mathematics and Mathematical Sciences, 2001 We study the generalized Hyers-Ulam stability of the functional equation f[x1,x2,x3]=h(x1+x2+x3).
Soon-Mo Jung, Prasanna K. Sahoo
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Approximate Cubic Lie Derivations on ρ-Complete Convex Modular Algebras
Journal of Function Spaces, 2018 In this article, we present generalized Hyers–Ulam stability results of a cubic functional equation associated with an approximate cubic Lie derivations on convex modular algebras χρ with Δ2-condition on the convex modular functional ρ.
Hark-Mahn Kim, Hwan-Yong Shin
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Solution and Stability of a General Mixed Type Cubic and Quartic Functional Equation
Journal of Function Spaces and Applications, 2013 We consider the following mixed type cubic and quartic functional equation = where is a fixed integer. We establish the general solution of the functional equation when the integer , and then, by using the fixed point alternative, we investigate the ...
Xiaopeng Zhao +2 more
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Approximate Generalized Cubic *-Derivations
Journal of Function Spaces, 2014 We will show the general solution of the functional equation f(ax+by)+f(ax-by) = ab2[f(x+y)+f(x-y)]+2a(a2-b2)f(x) and investigate the stability of cubic *-derivations associated with the given functional equation on Banach *-algebras.
Heejeong Koh, Dongseung Kang
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Spline Technique for Second Type of Fredholm Integral Equations
Journal of Kufa for Mathematics and Computer, 2020 Integral equation plays very important tools in a developed science like numerous troubles in an engineering and mechanical sciences . a cubic spline method renowned to begin with one powerful role to solve many functional equations like integral ...
Ahmed Jaber, Adil Alrammahi
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Out of time ordered quantum dissipation
Journal of High Energy Physics, 2019 We consider a quantum Brownian particle interacting with two harmonic baths, which is then perturbed by a cubic coupling linking the particle and the baths.
Bidisha Chakrabarty +2 more
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Nearly General Septic Functional Equation
Journal of Function Spaces, 2021 If a mapping can be expressed by sum of a septic mapping, a sextic mapping, a quintic mapping, a quartic mapping, a cubic mapping, a quadratic mapping, an additive mapping, and a constant mapping, we say that it is a general septic mapping.
Ick-Soon Chang, Yang-Hi Lee, Jaiok Roh
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