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...
| Κύριος συγγραφέας: | |
|---|---|
| Μορφή: | Άρθρο |
| Γλώσσα: | English |
| Έκδοση: |
AGH Univeristy of Science and Technology Press
2012-01-01
|
| Σειρά: | Opuscula Mathematica |
| Θέματα: | |
| Διαθέσιμο Online: | http://www.opuscula.agh.edu.pl/vol32/3/art/opuscula_math_3239.pdf |