The Distribution of Zeroes and Critical Points of Solutions of a Second Order Half-Linear Differential Equation-Reference-Cited by-同舟云学术

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

Published:2013 Issue: Volume:2013 Page:1-6
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Almenar Pedro¹^ORCID,Jódar Lucas²

Affiliation:

1. Division of Network, Vodafone Spain, S.A., P. E. Castellana Norte, 28050 Madrid, Spain

2. Instituto Universitario de Matemática Multidisciplinar, Universitat Politècnica de València, Camino de Vera s/n, 46022 Valencia, Spain

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, withp(x),q(x)>0,Φ(t)=|t|r-2t, andrreal such thatr>1. It also compares it with other methods developed by the authors.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2013/147192.pdf

Reference10 articles.

1. On Lyapunov's inequality for disfocality

2. Integral Inequalities for Second-Order Linear Oscillation

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

4. Mathematics Studies,2005

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