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Asymptotology
About: Asymptotology is a research topic. Over the lifetime, 1319 publications have been published within this topic receiving 35831 citations.
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01 Jun 1964
TL;DR: In this article, the sufficiency of the above theorem without an assumption as to the sign of a(t) was established without any assumption on the degree of a (t) > 0, and a stronger asymptotic result for equation (1) under a stronger assumption was given.
Abstract: This theorem is an extension of a theorem of Atkinson [21. Theorem 1 of this paper establishes the sufficiency of the above theorem without an assumption as to the sign of a(t). A theorem somewhat like the theorem of Trench [3] is given in Theorem 2 but for a nonlinear equation. As an application of this theorem, a stronger asymptotic result (under a stronger assumption) for equation (1) is given in Theorem 3. Other theorems on the asymptotic behavior of (1) when a(t) > 0 are contained in [4 ]. THEOREM 1. If a(t) is continuous and
49 citations