A composite functional equation on groups
Sign Up to like & getrecommendations! 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… read more here.
Keywords: equation groups; functional equation; abelian groups; equation ... See more keywords