## Abstract and Applied Analysis

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

#### 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 $\left(p\left(x\right)\mathrm{\Phi }\left(y\mathrm{\text{'}}\right)\right)\mathrm{\text{'}}+q\left(x\right)\mathrm{\Phi }\left(y\right)=\mathrm{0}$, with $p\left(x\right),q\left(x\right)>\mathrm{0}$, $\mathrm{\Phi }\left(t\right)=|t{|}^{r-\mathrm{2}}t$, and $r$ real such that $r>\mathrm{1}$. It also compares it with other methods developed by the authors.

#### Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 147192, 6 pages.

Dates
First available in Project Euclid: 27 February 2014

https://projecteuclid.org/euclid.aaa/1393511891

Digital Object Identifier
doi:10.1155/2013/147192

Mathematical Reviews number (MathSciNet)
MR3055955

Zentralblatt MATH identifier
1276.34024

#### Citation

Almenar, Pedro; Jódar, Lucas. The Distribution of Zeroes and Critical Points of Solutions of a Second Order Half-Linear Differential Equation. Abstr. Appl. Anal. 2013 (2013), Article ID 147192, 6 pages. doi:10.1155/2013/147192. https://projecteuclid.org/euclid.aaa/1393511891

#### References

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