Generalized Cauchy difference equations. II

DOI10.1090/S0002-9939-08-09379-9zbMath1206.39022MaRDI QIDQ3532517

Bruce R. Ebanks

Publication date: 28 October 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Pexider equationfunctional equationsimplicit function theoremregularity propertiesphilanderingfunctional independencecocycle equationCauchy difference equation

Mathematics Subject Classification ID

Functional equations for real functions (39B22)

Related Items (16)

Generalized Pexider difference equations ⋮ Functional equations and the Cauchy mean value theorem ⋮ On a fixed point theorem in 2-Banach spaces and some of its applications ⋮ Remarks on hyperstability of the Cauchy functional equation ⋮ P-means and the solution of a functional equation involving Cauchy differences ⋮ On some recent developments in Ulam's type stability ⋮ A functional equation related to Whitehead's equation on groups ⋮ Hyperstability of the Cauchy equation on restricted domains ⋮ A HYPERSTABILITY RESULT FOR THE CAUCHY EQUATION ⋮ Solutions of the \(n\)th-order Cauchy difference equation on groups ⋮ Solutions of the third order Cauchy difference equation on groups ⋮ Hyperstability and superstability ⋮ Quasi-Cauchy quotients and means ⋮ Remarks on stability of some inhomogeneous functional equations ⋮ Kernels of higher order Cauchy differences on free groups ⋮ A pexiderization of Whitehead's equation

Cites Work

• A short course on functional equations. Based upon recent applications to the social and behavioral sciences
• On Heuvers' logarithmic functional equation
• Regularity properties of functional equations in several variables.
• Another logarithmic functional equation
• Generalized Cauchy difference functional equations
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