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Published in 2017 at "Aequationes mathematicae"
DOI: 10.1007/s00010-016-0454-7
Abstract: We analyse the composite functional equation $$f(x+2f(y))=f(x)+y+f(y)$$f(x+2f(y))=f(x)+y+f(y) on certain groups. In particular we give a description of solutions on abelian 3-groups and finitely generated free abelian groups. This is motivated by a work of Pál…
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Keywords:
equation groups;
functional equation;
abelian groups;
equation ... See more keywords