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Exotic charge-density waves and superconductivity on the kagome lattice. [PDF]
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Stability of a quartic functional equation
Journal of Fixed Point Theory and Applications, 2018The authors introduce an {\(n\)-dimensional quartic functional equation} and show that this new equation generalizes some known {quartic functional equations}. The main task of the paper is to verify the stability (in the Ulam-Hyers sense) of the \(n\)-dimensional quartic equation for mappings between a normed space and a Banach space. Two such results
Sandra Pinelas +2 more
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ON STABILITY OF A-QUARTIC FUNCTIONAL EQUATIONS IN RANDOM NORMED SPACES
jnanabha, 2023In this paper, we shall prove the generalized Hyers-Ulam stability of the additive-quartic functional equation introduced by C. Muthamilarasi et al. [11] in Random Normed spaces by using direct and fixed-point methods.
Kumar, Manoj, Kumar, Anil, Amrit
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Stability of quartic functional equation in paranormed spaces
2021In this paper, we prove the Ulam-Hyers stability of the following quartic functional equation in paranormed spaces using both direct and fixed point methods.
Subramani, Karthikeyan +2 more
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Quartic functional equations in Lipschitz spaces
Rendiconti del Circolo Matematico di Palermo (1952 -), 2015The stability of quartic functional equations in Lipschitz norms is verified.
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Fixed Points and Quartic Functional Equations in β-Banach Modules
Results in Mathematics, 2011Based on the ideas of \textit{S. H. Lee}, \textit{S. M. Im} and \textit{I. S. Hwang} [J. Math. Anal. Appl. 307, No. 2, 387--394 (2005; Zbl 1072.39024)], who considered the quartic functional equation \[ f(2x+y) + f(2x-y) = 4[f(x+y) + f(x-y)] + 24f(x) - 6f(y) \eqno(1) \] and investigated general solutions and the Hyers-Ulam stability of that equation ...
Eshaghi Gordji, M. +2 more
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General Solution and Stability of a Quartic Functional Equation
International Journal of Mathematics Trends and Technology, 2015In this paper, authors areinvestigate the general solutions of a new Quartic functional ...
A. Ponmana selvan +2 more
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Cubic-quartic functional equations in fuzzy normed spaces
2010In this paper, we investigate the generalized Hyers-Ulam stability of the functional ...
Ghobadipour, N., Park, C.
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The Stability of the Quartic Functional Equation in Random Normed Spaces
Acta Applicandae Mathematicae, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Miheţ, D., Saadati, R., Vaezpour, S. M.
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