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Advances in Difference Equations

, 2012:213

Progress in Functional Differential and Difference Equations

Abstract

Linear differential equation

y ˙ t = − c t y t − r , Open image in new windowwhere c t Open image in new window is a positive continuous function and delay r is a positive constant, is considered for t → ∞ Open image in new window. It is proved that, under certain assumptions on the function c t Open image in new window and delay r, a class of positive linear initial functions defines dominant positive solutions with positive limit for t → ∞ Open image in new window.

MSC: 34K15, 34K25.

Keywordslinear differential equation with delay initial function retract method dominant solution asymptotic behavior of solution  Download fulltext PDF



Author: Josef Diblík - Mária Kúdelčíková

Source: https://link.springer.com/



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