In this paper we give a characterization for the existence of -bounded solutions on for the system , assuming that f is a Lebesgue -integrable function on . In addition, we give a result in connection with the asymptotic behavior of the -bounded solutions of this system.
Submitted October 9, 2008. Published January 6, 2009.
Math Subject Classifications: 34D05, 34C11.
Key Words: Psi-bounded; Psi-integrable.
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|Aurel Diamandescu |
University of Craiova
Department of Applied Mathematics
13, ``Al. I. Cuza'' st., 200585, Craiova, Romania
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