Convergent Disfocality and Nondisfocality Criteria for Second‐Order Linear Differential Equations

Pedro Almenar and Lucas Jódar

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

Abstract: This paper presents a method to determine whether the second‐order linear differential equation y′′ + q(x)y = 0 is either disfocal or nondisfocal in a fixed interval. The method is based on the recursive application of a linear operator to certain functions and yields upper and lower bounds for the distances between a zero and its adjacent critical points, which will be shown to converge to the exact values of such distances as the recursivity index grows.

Date: 2013
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https://doi.org/10.1155/2013/987976

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:987976

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