In this article, we present a necessary and sufficient condition for the existence of solutions to the linear nonhomogeneous system . Under the condition stated, for every Lebesgue -integrable function there is at least one -bounded solution on the interval .
Submitted March 5, 2004. Published April 23, 2004.
Math Subject Classifications: 34D05, 34C11.
Key Words: -bounded, Lebesgue -integrable function.
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|Aurel Diamandescu |
Department of Applied Mathematics
University of Craiova, 13 "Al. I. Cuza" st.
200.585 Craiova, Romania
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