Two-Parametric Conditionally Oscillatory Half-Linear Differential Equations
Joint Authors
Fišnarová, Simona
Dosly, Ondrej
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-02-20
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
We study perturbations of the nonoscillatory half-linear differential equation (r(t)Φ(x'))'+c(t)Φ(x)=0, Φ(x):=|x|p-2x, p>1.
We find explicit formulas for the functions r̂, ĉ such that the equation [(r(t)+λr̂(t))Φ(x')]'+[c(t)+μĉ(t)]Φ(x)=0 is conditionally oscillatory, that is, there exists a constant γ such that the previous equation is oscillatory if μ-λ>γ and nonoscillatory if μ-λ<γ.
The obtained results extend the previous results concerning two-parametric perturbations of the half-linear Euler differential equation.
American Psychological Association (APA)
Dosly, Ondrej& Fišnarová, Simona. 2011. Two-Parametric Conditionally Oscillatory Half-Linear Differential Equations. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-16.
https://search.emarefa.net/detail/BIM-452535
Modern Language Association (MLA)
Dosly, Ondrej& Fišnarová, Simona. Two-Parametric Conditionally Oscillatory Half-Linear Differential Equations. Abstract and Applied Analysis No. 2011 (2011), pp.1-16.
https://search.emarefa.net/detail/BIM-452535
American Medical Association (AMA)
Dosly, Ondrej& Fišnarová, Simona. Two-Parametric Conditionally Oscillatory Half-Linear Differential Equations. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-16.
https://search.emarefa.net/detail/BIM-452535
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-452535