ON THE REAL-VALUED GENERAL SOLUTIONS OF THE D’ALEMBERT EQUATION WITH INVOLUTION

DOI10.1017/S000497271600099XzbMath1366.39018OpenAlexW2557108713MaRDI QIDQ2986602

Soon-Yeong Chung, Chang-Kwon Choi, Jae-Young Chung

Publication date: 16 May 2017

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s000497271600099x

zbMATH Keywords

involutioncommutative semigroupd'Alembert functional equationreal-valued solution

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Functional equations for functions with more general domains and/or ranges (39B52)

Cites Work

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• Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis
• Functional equations on semigroups
• Distributional method for the D'Alembert equation
• DISTRIBUTIONAL SOLUTIONS OF WILSON'S FUNCTIONAL EQUATIONS WITH INVOLUTION AND THEIR ERDÖS' PROBLEM
• The Stability of the Cosine Equation
• Functional Equations on Groups

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