Department of Mathematics, University of Žilina, Faculty of Science, Univerzitná 8215/1, 010 26 Žilina, Slovakia
Copyright © 2010 Josef Diblík et al. This is an open access article distributed under the
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The asymptotic behavior of the solutions of the first-order differential equation containing delays is studied with , , , . The attention is focused on an analysis of the asymptotical convergence of solutions. A criterion for the asymptotical convergence of all solutions, characterized by the existence of a strictly increasing bounded solution, is proved. Relationships with the previous results are discussed, too.