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Author Country (or Countries)

Turkey

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

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Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100531

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