MR2297945 Philos, Ch. G., Purnaras, I. K. and Sficas, Y. G. Ch. G. PHILOS, I. K. PURNARAS and Y. G. SFICAS Asymptotic Decay of the Oscillatory Solutions to First Order Non-Autonomous Linear Unstable Type Delay Differential Equations Funkcialaj Ekvacioj. Serio Internacia 49 2006 385--413 http://fe.math.kobe-u.ac.jp/FE/FullPapers/49-3/49_385.pdf http://www.ams.org/mathscinet-getitem?mr=MR2297945 In this article, we are concerned with the question of the asymptotic decay of the oscillatory solutions to a class of first order linear unstable type delay differential equations with variable coefficients and constant delays. We establish a sufficient condition for all oscillatory solutions to tend to zero at $\infty$. This condition is substantially weaker than the one given by Ladas and the third author [Hiroshima Math. J. 18 (1988), 351-359]. Delay differential equation, Oscillatory solution, Asymptotic decay, Asymptotic behavior. 34K11, 34K25. 49-385 2006 Asymptotic Decay of the Oscillatory Solutions to First Order Non-Autonomous Linear Unstable Type Delay Differential Equations PHILOS, Ch. G., PURNARAS, I. K. and SFICAS, Y. G. Ch. G. PHILOS, I. K. PURNARAS and Y. G. SFICAS
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