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...

Cur síos iomlán

Sonraí bibleagrafaíochta
Príomhchruthaitheoir: Dariusz Sokołowski
Formáid: Alt
Teanga:English
Foilsithe / Cruthaithe: AGH Univeristy of Science and Technology Press 2012-01-01
Sraith:Opuscula Mathematica
Ábhair:
Rochtain ar líne:http://www.opuscula.agh.edu.pl/vol32/3/art/opuscula_math_3239.pdf