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.
Citation
Pedro Almenar. Lucas Jódar. "On the Zeroes and the Critical Points of a Solution of a Second Order Half-Linear Differential Equation." Abstr. Appl. Anal. 2012 1 - 18, 2012. https://doi.org/10.1155/2012/787920
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