On the asymptotic behaviour of solutions to a linear functional equation
We investigate the asymptotic behaviour at infinity of solutions of the equation \[\varphi (x) = \int_S \varphi (x+M(s))\sigma(d s).\] 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 \(+\infty\) te...
| Hlavní autor: | |
|---|---|
| Médium: | Článek |
| Jazyk: | English |
| Vydáno: |
AGH Univeristy of Science and Technology Press
2012-01-01
|
| Edice: | Opuscula Mathematica |
| Témata: | |
| On-line přístup: | http://www.opuscula.agh.edu.pl/vol32/3/art/opuscula_math_3239.pdf |