Existence and Asymptotic Behavior of Positive Solutions of Functional Differential Equations of Delayed Type

Solutions of the equation y˙(t)= −f(t,yt) are considered for t→∞. The existence of two classes of positive solutions which are asymptotically different is proved using the retract method combined with Razumikhin's technique. With the aid of two auxiliary linear equations, which are constructed...

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Bibliographic Details
Main Authors: J. Diblík, M. Kúdelčíková
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2011/754701