Sturm-Picone type theorems for second-order nonlinear differential equations

The aim of this article is to give Sturm-Picone type theorems for the pair of second-order nonlinear differential equations $$\displaylines{ (p_1(t)|x'|^{\alpha-1}x')'+q_1(t)f_1(x)=0 \cr (p_2(t)|y'|^{\alpha-1}y')'+q_2(t)f_2(y)=0,\quad t_1

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Bibliographic Details
Published in:Electronic journal of differential equations 2014-06, Vol.2014 (146), p.1-11
Main Author: Aydin Tiryaki
Format: Article
Language:English
Subjects:
Comparison theorem
half-linear
second order differential equations
singular equation
Sturm-Picone theorem
variational lemma
Online Access:Get full text
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Summary:The aim of this article is to give Sturm-Picone type theorems for the pair of second-order nonlinear differential equations $$\displaylines{ (p_1(t)|x'|^{\alpha-1}x')'+q_1(t)f_1(x)=0 \cr (p_2(t)|y'|^{\alpha-1}y')'+q_2(t)f_2(y)=0,\quad t_1
ISSN:1072-6691