ON THE OSCILLATION OF NONLINEAR NEUTRAL DIFFERENTIAL EQUATION WITH POSITIVE AND NEGATIVE COEFFICIENTS

TitleON THE OSCILLATION OF NONLINEAR NEUTRAL DIFFERENTIAL EQUATION WITH POSITIVE AND NEGATIVE COEFFICIENTS
Publication TypeJournal Article
Year of Publication2008
AuthorsÖCALAN Ö., YILDIZ M.K., KARPUZ B.
JournalDynamic Systems and Applications
Volume17
Start Page667
Pagination9
Date Published2008
ISSN1056-2176
AMS Subject Classification34C10, 34K40, 34K99
Abstract

This paper is focused on the following nonlinear neutral differential equation with positive and negative coefficients

                           [ x(t) − R(t) f( x(t − r)) ]′ + P(t) g(x(t − τ)) − Q(t )g( x(t − σ)) = 0,

where R(t), P(t), Q(t) ∈ C ([t0, ∞), R+),  r > 0,  τ ≥ 0,  σ ≥ 0. For this equation, oscillation criteria are established.
PDFhttps://acadsol.eu/dsa/articles/17/DSA-2007-667-676.pdf
Refereed DesignationRefereed