On asymptotic behavior of solutions of generalized emden-fowler differential equations with delay argument

Alexander Domoshnitsky, Roman Koplatadze

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

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+), C (R+; (0, + ∞)), σ C (R+; R+), σ (t) ≤ t, and lim t → + ∞ σ(t) = + ∞. We say that the equation is almost linear if the condition lim t → + ∞ (t) = 1 is fulfilled, while if lim sup t → + ∞ (t) ≠ 1 or lim inf t → + ∞ (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.

Original languageEnglish
Article number168425
JournalAbstract and Applied Analysis
Volume2014
DOIs
StatePublished - 2014

Fingerprint

Dive into the research topics of 'On asymptotic behavior of solutions of generalized emden-fowler differential equations with delay argument'. Together they form a unique fingerprint.

Cite this