Keyword

quartic functional equation

Description: A functional equation characterizing or involving functions with quartic behavior, studied through solution and stability theory.

Primary topic: Functional Equations Stability Results (100%)

OpenAlex ID: keywords/quartic-functional-equation

Quartic functional equations

2005 · Sang Han Lee, Sung Mo Im, et al. · Journal of Mathematical Analysis and Applications · 169

Solution of the Ulam stability problem for quartic mappings

1999 · John Michael Rassias · University of Zagreb University Computing Centre (SRCE) · 132

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A Note to Paper “On the Stability of Cubic Mappings and Quartic Mappings in Random Normed Spaces” (Erratum)

2009 · R. Saadati, S. M. Vaezpour, et al. · Journal of Inequalities and Applications · 104

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Solution and Stability of a Mixed Type Cubic and Quartic Functional Equation in Quasi‐Banach Spaces

2009 · M. Eshaghi Gordji, S. Zolfaghari, et al. · Abstract and Applied Analysis · 95

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On the General Solution of a Quartic Functional Equation

2003 · Jukang-K. Chung, Prasanna, K. Sahoo · Bulletin of the Korean Mathematical Society · 86

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On the stability of a quartic functional equation

2007 · Abbas Najati · Journal of Mathematical Analysis and Applications · 72

Stability of Mixed Type Cubic and Quartic Functional Equations in Random Normed Spaces

2009 · M Eshaghi Gordji, MB Savadkouhi · Journal of Inequalities and Applications · 70

Stability of Cubic and Quartic Functional Equations in Non-Archimedean Spaces

2009 · M. Eshaghi Gordji, M. B. Savadkouhi · Acta Applicandae Mathematicae · 68

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On the Stability of a Generalized Quadratic and Quartic Type Functional Equation in Quasi-Banach Spaces

2009 · MEshaghi Gordji, S Abbaszadeh, et al. · Journal of Inequalities and Applications · 67

On the stability problem for a mixed type of quartic and quadratic functional equation

2006 · Hark-Mahn Kim · Journal of Mathematical Analysis and Applications · 67

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On the Stability of Cubic Mappings and Quadratic Mappings in Random Normed Spaces

2008 · E Baktash, YJ Cho, et al. · Journal of Inequalities and Applications · 59

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Approximation of radical functional equations related to quadratic and quartic mappings

2012 · H. Khodaei, M. Eshaghi Gordji, et al. · Journal of Mathematical Analysis and Applications · 56

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The Stability of the Quartic Functional Equation in Random Normed Spaces

2009 · D. Miheţ, R. Saadati, et al. · Acta Applicandae Mathematicae · 51

Stability of a Functional Equation Deriving from Cubic and Quartic Functions

2008 · M. Eshaghi Gordji, A. Ebadian, et al. · Abstract and Applied Analysis · 47

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The stability of the quartic functional equation in various spaces

2010 · Reza Saadati, Yeol J. Cho, et al. · Computers & Mathematics with Applications · 45

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Stability of a Generalized Mixed Type Additive, Quadratic, Cubic and Quartic Functional Equation

2009 · K. Ravi, John Michael Rassias, et al. · 42

Intuitionistic fuzzy stability of the generalized forms of cubic and quartic functional equations

2016 · Abasalt Bodaghi · Journal of Intelligent & Fuzzy Systems · 39

Ulam Stability of a Quartic Functional Equation

2012 · Abasalt Bodaghi, Idham Arif Alias, et al. · Abstract and Applied Analysis · 33

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Stability of Quartic Functional Equations in the Spaces of Generalized Functions

2009 · Young-Su Lee, Soon-Yeong Chung · Advances in Difference Equations · 29

Stability of a Quartic Functional Equation

2014 · Abasalt Bodaghi · The Scientific World JOURNAL · 28

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A fixed point approach to almost quartic mappings in quasi fuzzy normed spaces

2009 · Alireza Kamel Mirmostafaee · Fuzzy Sets and Systems · 28

AQCQ‐Functional Equation in Non‐Archimedean Normed Spaces

2010 · M. Eshaghi Gordji, R. Khodabakhsh, et al. · Abstract and Applied Analysis · 22

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On the Stability of Generalized Quartic Mappings in Quasi-β-Normed Spaces

2010 · Dongseung Kang · Journal of Inequalities and Applications · 22

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On nonlinear stability in various random normed spaces

2011 · John Michael Rassias, Reza Saadati, et al. · Journal of Inequalities and Applications · 21

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The Stability of a Quartic Type Functional Equation With the Fixed Point Alternative

2010 · M‎. ‎Eshaghi Gordji, Choonkil Park, et al. · 21

Works count: 173

Citation count: 1,892