Non-Archimedean stability of a quadratic functional equation

DOI10.1007/S11565-012-0170-8zbMath1369.39024OpenAlexW1990559772MaRDI QIDQ467144

Publication date: 3 November 2014

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-012-0170-8

zbMATH Keywords

Hyers-Ulam stability quadratic functional equation non-Archimedean normed space \(p\)-adic field

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Functional equations for functions with more general domains and/or ranges (39B52)

Cites Work

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Nonlinear \(\mathcal L\)-random stability of an ACQ functional equation
Generalized Hyers-Ulam-Rassias stability of \(n\)-sesquilinear-quadratic mappings on Banach modules over \(C^*\)-algebras
Quartic functional equations
Stability of mixed additive-quadratic Jensen type functional equation in various spaces
Stability of a pexiderial functional equation in random normed spaces
On the representation of non-Archimedean objects
On the stability of a generalized quadratic and quartic type functional equation in quasi-Banach spaces
Stability of an additive-cubic-quartic functional equation
Approximately \(J^*\)-homomorphisms: a fixed point approach
Stability of a mixed type cubic-quartic functional equation in non-Archimedean spaces
Solution and stability of a mixed type cubic and quartic functional equation in quasi-Banach spaces
A note to paper ``On the stability of cubic mappings and quartic mappings in random normed spaces
Fuzzy stability of a functional equation associated with inner product spaces
On Jensen's functional equation
On some non-Archimedian spaces of Alexandroff and Urysohn
A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
The problem of S. M. Ulam for approximately multiplicative mappings
On the stability of functional equations and a problem of Ulam
On the stability of functional equations in Banach spaces
Homomorphisms between Poisson JC*-algebras
Lie \(\ast\)-homomorphisms between Lie \(C^*\)-algebras and Lie \(\ast\)-derivations on Lie \(C^*\)-algebras
The fixed point method for fuzzy approximation of a functional equation associated with inner product spaces
On the stability of \(J^*\)-derivations
On the Hyers-Ulam stability of linear mappings
On inequalities associated with the Jordan-von Neumann functional equation
Stability of the Cauchy functional equation over \(p\)-adic fields
On the stability of the linear transformation in Banach spaces
On a Local Stability of the Jensen Functional Equation
The Pexiderized Apollonius–Jensen type additive mapping and isomorphisms betweenC*-algebras
Proprieta’ locali e approssimazione di operatori
On the Behavior of Mappings which do not Satisfy Hyers-Ulam Stability
On the Stability of the Linear Mapping in Banach Spaces
Hyers-Ulam-Rassias stability of Jensen’s equation and its application
ON THE GENERAL SOLUTION OF A QUARTIC FUNCTIONAL EQUATION
Extended Hyers–Ulam stability for Cauchy–Jensen mappings†
On the Stability of the Linear Functional Equation
Remarks on the stability of functional equations
Stability of functional equations in several variables
On the stability of the additive Cauchy functional equation in random normed spaces

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