Results 11 to 20 of about 24,678 (193)
Stability of an Additive-Cubic-Quartic Functional Equation in Multi-Banach Spaces [PDF]
Abstract and Applied Analysis, 2011 We prove the Hyers-Ulam stability of the additive-cubic-quartic functional equation in multi-Banach spaces by using the fixed point alternative method. The first results on the stability in the multi-Banach spaces were presented in (Dales and Moslehian ...
Zhihua Wang +2 more
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Quadratic-Quartic Functional Equations in RN-Spaces [PDF]
Journal of Inequalities and Applications, 2009 11 ...
Choonkil Park +2 more
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Characterization and Stability of Multimixed Additive-Quartic Mappings: A Fixed Point Application
Journal of Function Spaces, 2021 In this article, we introduce the multi-additive-quartic and the multimixed additive-quartic mappings. We also describe and characterize the structure of such mappings. In other words, we unify the system of functional equations defining a multi-additive-
Abasalt Bodaghi +3 more
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Approximation of Mixed Euler-Lagrange σ-Cubic-Quartic Functional Equation in Felbin’s Type f-NLS
Journal of Function Spaces, 2021 In this research paper, the authors present a new mixed Euler-Lagrange σ-cubic-quartic functional equation. For this introduced mixed type functional equation, the authors obtain general solution and investigate the various stabilities related to the ...
John Michael Rassias +3 more
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Stability of an additive-quadratic-quartic functional equation
Demonstratio Mathematica, 2020 In this paper, we investigate the stability of an additive-quadratic-quartic functional ...
Kim Gwang Hui, Lee Yang-Hi
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Journal of Mathematics, 2022 In this study, we use the alternative fixed-point approach and the direct method to examine the generalized Hyers–Ulam stability of the quartic functional equation gu+mv+gu−mv=2m−17m−9gu+2m2−1m2gv−m−12g2u+m2gu+v+gu−v, with a fixed positive integer m/ge2
Ravinder Kumar Sharma, Sumit Chandok
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Journal of Function Spaces, 2021 In this work, we examine the generalized Hyers-Ulam orthogonal stability of the quartic functional equation in quasi-β-normed spaces. Moreover, we prove that this functional equation is not stable in a special condition by a counterexample.
Nazek Alessa +4 more
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ON THE GENERAL SOLUTION OF A QUARTIC FUNCTIONAL EQUATION [PDF]
Bulletin of the Korean Mathematical Society, 2003 Using a classical result of M. Hosszú and applying elegant and elementary arguments the authors find the general solution of the functional equation: \[ f(x + 2y) + f(x-2y) + 6 f(x) = 4 (f (x+y) + f(x-y) + 6 f(y)), \] i.e., \( f(x) = A^4 (x)\) which is the diagonal of a 4-additive symmetric function from \(R^4\) into \(R\). By means of some results due
Chung, Jukang K., Sahoo, Prasanna K.
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ADDITIVE-QUARTIC FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN ORTHOGONALITY SPACES [PDF]
Korean Journal of Mathematics, 2012 Summary: Using the direct method, we prove the Hyers-Ulam stability of the orthogonally additive-quartic functional equation \[ \begin{aligned} f (2x + y) + f (2x - y) &= 4f (x + y) + 4f (x - y) \\ &+ 10f (x) + 14f (- x) - 3 f (y) - 3 f (- y) \end{aligned}\tag{0.1} \] for all \(x, y\) with \(x \bot y\), in non-Archimedean Banach spaces.
Lee, Hyunju +4 more
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Origin of the roughness exponent in elastic strings at the depinning threshold [PDF]
, 2001 Within a recently developed framework of dynamical Monte Carlo algorithms, we compute the roughness exponent $\zeta$ of driven elastic strings at the depinning threshold in 1+1 dimensions for different functional forms of the (short-range) elastic energy.
A.-L. Barabási +22 more
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