On Asymptotic Behavior of Solutions of Generalized Emden-Fowler Differential Equations with Delay Argument

On Asymptotic Behavior of Solutions of Generalized Emden-Fowler Differential Equations with Delay Argument

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 lim⁡supt→+∞⁡μ(t)≠1 or lim⁡inf...

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Bibliographic Details
Main Authors: Alexander Domoshnitsky, Roman Koplatadze
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/168425
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