Geodesic
Operators of the type $Af(x)=f(aх+b)-\lambda f(x)$ and functional equations in problems of math competitions
Matematičeskoe obrazovanie, Tome 81 (2017) no. 1, pp. 33-39.

Voir la notice de l'article provenant de la source Math-Net.Ru

For different classes of functions, some properties of operators of the type $Af(x)=f(aх+b)-\lambda f(x)$ and their generalizations are studied.
Keywords: operators of the form $Af (x) = f (ax + b) -\lambda f (x)$, classes of functions, functional equations. 
@article{MO_2017_81_1_a4,
     author = {E. I. Znak},
     title = {Operators of the type $Af(x)=f(a{\cyrh}+b)-\lambda f(x)$ and functional equations in problems of math competitions},
     journal = {Matemati\v{c}eskoe obrazovanie},
     pages = {33--39},
     publisher = {mathdoc},
     volume = {81},
     number = {1},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MO_2017_81_1_a4/}
}
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E. I. Znak. Operators of the type $Af(x)=f(aх+b)-\lambda f(x)$ and functional equations in problems of math competitions. Matematičeskoe obrazovanie, Tome 81 (2017) no. 1, pp. 33-39. http://geodesic.mathdoc.fr/item/MO_2017_81_1_a4/