Measure zero stability problem of a new quadratic functional equation

DOI10.1016/J.JMAA.2015.08.031zbMath1326.39021OpenAlexW1170910451MaRDI QIDQ499176

Jae-Young Chung, John Michael S. Rassias

Publication date: 30 September 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.08.031

zbMATH Keywords

asymptotic behaviorquadratic functional equationfirst categoryLebesgue measureBaire category theorem

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82)

Cites Work

• Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis
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• On the quotient stability of a family of functional equations
• A conditional exponential functional equation and its stability
• On two conditional Pexider functional equations and their stabilities
• Functional equations on restricted domains
• On the Hyers-Ulam stability of the functional equations that have the quadratic property
• On the Ulam stability of Jensen and Jensen type mappings on restricted domains
• On the Ulam stability of mixed type mappings on restricted domains
• On solutions of the d'Alembert equation on a restricted domain
• Quadratic functional equations in a set of Lebesgue measure zero
• Recent developments of the conditional stability of the homomorphism equation
• Stability of an alternative functional equation
• On approximation of approximate solutions of Dhombres' equation
• Proprieta’ locali e approssimazione di operatori
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