Relations between Solutions of Differential Equations and Small Functions

Wei Liu and Zong-Xuan Chen

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: We investigate relations between solutions, their derivatives of differential equation f(k) + Ak−1f(k−1) + ⋯+A1f’ + A0f = 0, and functions of small growth, where Aj (j = 0, 1, …, k − 1) are entire functions of finite order. By these relations, we see that every transcendental solution and its derivative of above equation have infinitely many fixed points.

Date: 2012
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https://doi.org/10.1155/2012/358027

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:358027

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