Title of article
Half-linear oscillation criteria: Perturbation in term involving derivative Original Research Article
Author/Authors
Ond?ej Do?l?، نويسنده , , Simona Fi?narov?، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
11
From page
3756
To page
3766
Abstract
We consider the nonoscillatory half-linear differential equation
View the MathML source(r(t)Φ(x′))′+c(t)Φ(x)=0,Φ(x)≔|x|p−2x,p>1,
Turn MathJax on
and we study oscillatory properties of its perturbation
equation(∗ )
View the MathML source[(r(t)+r̃(t))Φ(x′)]′+(c(t)+c̃(t))Φ(x)=0.
Turn MathJax on
We use the Riccati technique and relationship between (∗) and a certain associated linear equation. The results are applied to the perturbed Euler-type equation.
Keywords
Riccati technique , Perturbation principle , Linearization method , Half-linear differential equation , Oscillation and nonoscillation criteria
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2010
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
862811
Link To Document