Students and teachers of mathematical specialties

Operators of the type $Af(x)=f(aх+b)-\lambda f(x)$ and functional equations in problems of math competitions

E. I. Znak

Mikhailovskaya Artillery Military Academy, Saint Petersburg

Abstract: 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.

UDC: 517.983.2