On locally bounded solutions of Schilling's problem

• Autorzy: Janusz Morawiec
• Języki publikacji: EN

Abstrakty

EN

We prove that for some parameters q ∈ (0,1) every solution f:ℝ → ℝ of the functional equation
f(qx) = 1/(4q) [f(x-1) + f(x+1) + 2f(x)]
which vanishes outside the interval [-q/(1-q),q/(1-q)] and is bounded in a neighbourhood of a point of that interval vanishes everywhere.

Kategorie tematyczne

• 39B12: Iteration theory, iterative and composite equations
• 39B22: Equations for real functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2001
• Tom: 76
• Numer: 3
• Strony: 169-188

Daty

wydano

2001

Twórcy

autor

Janusz Morawiec

• Institute of Mathematics, Silesian University, Bankowa 14, 40-007 Katowice, Poland

Identyfikatory

DOI

10.4064/ap76-3-1