On Asymptotic Behavior of Solutions of Generalized Emden-Fowler Differential Equations with Delay Argument
Joint Authors
Koplatadze, Roman
Domoshnitsky, Alexander I.
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-01-22
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
The following differential equation u(n)(t)+p(t)|u(σ(t))|μ(t) sign u(σ(t))=0 is considered.
Here p∈Lloc(R+;R+), μ∈C(R+;(0,+∞)), σ∈C(R+;R+), σ(t)≤t, and limt→+∞σ(t)=+∞.
We say that the equation is almost linear if the condition limt→+∞μ(t)=1 is fulfilled, while if limsupt→+∞μ(t)≠1 or liminft→+∞μ(t)≠1, then the equation is an essentially nonlinear differential equation.
In the case of almost linear and essentially nonlinear differential equations with advanced argument, oscillatory properties have been extensively studied, but there are no results on delay equations of this sort.
In this paper, new sufficient conditions implying Property A for delay Emden-Fowler equations are obtained.
American Psychological Association (APA)
Domoshnitsky, Alexander I.& Koplatadze, Roman. 2014. On Asymptotic Behavior of Solutions of Generalized Emden-Fowler Differential Equations with Delay Argument. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-1033571
Modern Language Association (MLA)
Domoshnitsky, Alexander I.& Koplatadze, Roman. On Asymptotic Behavior of Solutions of Generalized Emden-Fowler Differential Equations with Delay Argument. Abstract and Applied Analysis No. 2014 (2014), pp.1-13.
https://search.emarefa.net/detail/BIM-1033571
American Medical Association (AMA)
Domoshnitsky, Alexander I.& Koplatadze, Roman. On Asymptotic Behavior of Solutions of Generalized Emden-Fowler Differential Equations with Delay Argument. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-1033571
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033571