On the asymptotic behaviour of solutions to a linear functional equation

• Autorzy: Sokołowski D.
• Języki publikacji: EN

Abstrakty

EN

We investigate the asymptotic behaviour at infinity of solutions of the equation [formula].We show among others that, under some assumptions, any positive solution of the equation which is integrable on a vicinity of infinity or vanishes at +∞ tends on some sequence to zero faster than some exponential function, but it does not vanish faster than another such function.

Słowa kluczowe

EN

linear functional equations and inequalities; solutions with a constant sign; asymptotic behaviour of solutions

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2012
• Tom: Vol. 32, no. 3
• Strony: 559--577
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Sokołowski D.

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

Bibliografia

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