SOLUTIONS OF A GOŁA̧B–SCHINZEL-TYPE FUNCTIONAL EQUATION BOUNDED ON ‘BIG’ SETS IN AN ABSTRACT SENSE

DOI10.1017/S0004972709001099zbMath1188.28013OpenAlexW2041153732MaRDI QIDQ3564908

Eliza Jabłońska

Publication date: 26 May 2010

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

Full work available at URL: https://doi.org/10.1017/s0004972709001099

zbMATH Keywords

exponential functionbounded solutionsBaire categoryLebesgue measurabilityGołąb-Schinzel equation

Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52) Nonstandard measure theory (28E05)

Related Items (5)

Continuous on rays solutions of an equation of the Gołąb-Schinzel type ⋮ Christensen measurability and some functional equation ⋮ The pexiderized Gołąb-Schinzel functional equation ⋮ Semigroup-valued solutions of some composite equations ⋮ Quotient stability of a class of composite equations

Cites Work

• Subgroups of the group \(Z_ n\) and a generalization of the Gołąb- Schinzel functional equation
• On the Cauchy difference
• Bounded solutions of the Gołab-Schinzel equation
• Theorems of Bernstein-Doetsch, Piccard and Mehdi and semilinear topology
• Ein Beitrag zur Baire-Kategorie-Theorie
• Generalizations of some results concerning microperiodic mappings
• On solutions of a common generalization of the Gołąb-Schinzel equation and of the addition formulae
• On solutions of a generalization of the Gołab-Schinzel equation
• Remarks on one-parameter subsemigroups of the affine group and their homo-and isomorphisms
• The Gołąb-Schinzel equation and its generalizations
• The Interior Points of the Product of Two Subsets of a Locally Compact Group
• Functions having the Darboux property and satisfying some functional equation
• CONTINUITY OF MEASURABLE HOMOMORPHISMS

This page was built for publication: SOLUTIONS OF A GOŁA̧B–SCHINZEL-TYPE FUNCTIONAL EQUATION BOUNDED ON ‘BIG’ SETS IN AN ABSTRACT SENSE