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

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  • Pedro Almenar
  • Lucas Jódar

Abstract

This paper presents a method to determine whether the second-order linear differential equation 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.

Suggested Citation

  • Pedro Almenar & Lucas Jódar, 2013. "Convergent Disfocality and Nondisfocality Criteria for Second-Order Linear Differential Equations," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-11, December.
    • Handle: RePEc:hin:jnlaaa:987976
    DOI: 10.1155/2013/987976
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