Aurel Diamandescu
Abstract:
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 email: adiamandescu@central.ucv.ro |
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