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...
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| Fformat: | Erthygl |
| Iaith: | English |
| Cyhoeddwyd: |
AGH Univeristy of Science and Technology Press
2012-01-01
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| Cyfres: | Opuscula Mathematica |
| Pynciau: | |
| Mynediad Ar-lein: | http://www.opuscula.agh.edu.pl/vol32/3/art/opuscula_math_3239.pdf |