On Eventually Positive Solutions of Quasilinear Second-Order Neutral Differential Equations
Joint Authors
Fišnarová, Simona
Mařík, Robert
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-13
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We study the second-order neutral delay differential equation [r(t)Φγ(z′(t))]′+q(t)Φβ(x(σ(t)))=0, where Φα(t)=|t|α-1t, α≥1 and z(t)=x(t)+p(t)x(τ(t)).
Based on the conversion into a certain first-order delay differential equation we provide sufficient conditions for nonexistence of eventually positive solutions of two different types.
We cover both cases of convergent and divergent integral ∫∞r-1/γ(t)dt.
A suitable combination of our results yields new oscillation criteria for this equation.
Examples are shown to exhibit that our results improve related results published recently by several authors.
The results are new even in the linear case.
American Psychological Association (APA)
Fišnarová, Simona& Mařík, Robert. 2014. On Eventually Positive Solutions of Quasilinear Second-Order Neutral Differential Equations. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1014849
Modern Language Association (MLA)
Fišnarová, Simona& Mařík, Robert. On Eventually Positive Solutions of Quasilinear Second-Order Neutral Differential Equations. Abstract and Applied Analysis No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1014849
American Medical Association (AMA)
Fišnarová, Simona& Mařík, Robert. On Eventually Positive Solutions of Quasilinear Second-Order Neutral Differential Equations. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1014849
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014849