Abstract and Applied Analysis

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

Pedro Almenar and Lucas Jódar

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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 ( p ( x ) Φ ( y ' ) ) ' + q ( x ) Φ ( y ) = 0 , with p ( x ) , q ( x ) > 0 , Φ ( t ) = | t | r - 2 t , and r real such that r > 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

Permanent link to this document
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


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References

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