Article Title
Abstract
It is the purpose of this paper to give oscillation criteria for the third-order neutral differential equation with continuously distributed mixed arguments [ r(t) [x(t)+ Z b a p(t,m)x[t (t,m)]dm] ′′ ]g )′ + Z d c q1(t,x ) f (x[f1(t,x )])dx + Z d c q2(t,h)g(x[f2(t,h)])dh = 0, where g > 0 is a quotient of odd positive integers. By using a generalized Riccati transformation and integral averaging technique, we establish some new sufficient conditions which ensure that every solution of this equation oscillates or converges to zero.
Suggested Reviewers
N/A
Digital Object Identifier (DOI)
http://dx.doi.org/10.18576/amis/100531
Recommended Citation
Kılınc Gecer, Nagehan and Temtek, Pakize
(2016)
"Oscillatory of Third-Order Neutral Differential Equations with Continuously Distributed Mixed Arguments,"
Applied Mathematics & Information Sciences: Vol. 10
:
Iss.
5
, Article 31.
DOI: http://dx.doi.org/10.18576/amis/100531
Available at:
https://dc.naturalspublishing.com/amis/vol10/iss5/31