On the Zeroes and the Critical Points of a Solution of a Second Order Half-Linear Differential Equation

Pedro Almenar and Lucas Jódar

Abstract and Applied Analysis, 2012, vol. 2012, 1-18

Abstract:

This paper presents two methods 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 , with and piecewise continuous and , and being real such that . It also compares between them in several examples. Lower bounds (i.e., Lyapunov inequalities) for such a distance are also provided and compared with other methods.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:787920

DOI: 10.1155/2012/787920

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