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Equadiff 2003 - International Conference on Differential Equations
July 22-26, 2003
LUC Diepenbeek
Hasselt, Belgium

Organizers
Freddy Dumortier (Chair, LUC Diepenbeek), Henk Broer (Univ. Groningen), Jean-Pierre Gossez (Univ. Libre Bruxelles), Jean Mawhin (Univ. Cath. Louvain-la-Neuve), Andre Vanderbauwhede (Univ. Gent), Sjoerd Verduyn Lunel (Univ. Leiden)

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On a problem of Hartman and Wintner for difference equations
by
Nina Chernyavskaya
Ben-Gurion University, Israel
Coauthors: Leonid Shuster (Bar-Ilan University, Israel)

The equation (1)  \Delta(rn-1\Deltayn-1)=(qn+\sigman)yn,  n >= 0 is regarded as a perturbation
of (2)  \Delta(rn-1\Deltazn-1)=qnzn,  n >= 0, where the latter is nonoscillatory at infinity. The sequencies  {rn}\inftyn=0,    {qn}\inftyn=0 are assumed to be real-valued, rn > 0 for all  n >= 0, whereas {\sigman}\inftyn=0 is complex-valued. A problem of Hartman and Wintner regarding the asymptotic "integration" of (1) for large n by means of solutions of (2) is studied.

Date received: May 30, 2003

Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # calo-40.