%0 Journal Article
%T Asymptotical Convergence of the Solutions of a Linear Differential Equation with Delays
%A Josef Dibl&#237
%A k
%A Miroslava R&#367
%A &#382
%A i&#269
%A kov&#225
%A Zuzana &#352
%A ut&#225
%J Advances in Difference Equations
%D 2010
%I Springer
%R 10.1155/2010/749852
%X The asymptotic behavior of the solutions of the first-order differential equation y (t)=﹉i=1n汕i(t)[y(t-汛i)-y(t-而i)] containing delays is studied with 汕i:[t0-而,﹢)↙[0,﹢), 而=max {而1,＃,而n}, ﹉i=1n汕i(t)>0, 而i>汛i>0. 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.
%U http://dx.doi.org/10.1155/2010/749852