On Gajda's type quadratic equation on a locally compact abelian group

DOI10.1016/j.indag.2015.05.001zbMath1329.39024OpenAlexW860978200MaRDI QIDQ2354779

Samir Kabbaj, Brahim Fadli, Driss Zeglami

Publication date: 24 July 2015

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2015.05.001

zbMATH Keywords

quadratic functional equationadditive functionPexider type equationDrygas' integral equation

Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52) General properties and structure of LCA groups (22B05) Topological methods for abelian groups (20K45)

Related Items (6)

An integral functional equation on abelian semigroups ⋮ On Jensen’s and the quadratic functional equations with involutions ⋮ A variant of the quadratic functional equation on semigroups ⋮ On a quadratic type functional equation on locally compact abelian groups ⋮ On a class of functional equations which includes the Pexider's one ⋮ Nice results about quadratic type functional equations on semigroups

Cites Work

• A note on a modification of Gajda's equation
• A generalization of Gajda's equation
• Functional equations on abelian groups with involution
• Functional equations on abelian groups with involution. II
• Functional equations on semigroups
• Quadratic functional equations of Pexider type
• Quadratic functional equation and inner product spaces
• A Common Generalization of Functional Equations Characterizing Normed and Quasi-Inner-Product Spaces
• Functional Equations and Inequalities with Applications
• On a Quadratic-Trigonometric Functional Equation and Some Applications
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