The Distribution of Zeroes and Critical Points of Solutions of a Second Order Half‐Linear Differential Equation

Pedro Almenar and Lucas Jódar

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: This paper reuses an idea first devised by Kwong to obtain upper bounds for the distance between a zero and an adjacent critical point of a solution of the second order half‐linear differential equation (p(x)Φ(y′))′ + q(x)Φ(y) = 0, with p(x), q(x) > 0, Φ(t) = |t|r−2t, and r real such that r > 1. It also compares it with other methods developed by the authors.

Date: 2013
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https://doi.org/10.1155/2013/147192

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:147192

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