J4 ›› 2010, Vol. 07 ›› Issue (4): 612-616.

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Oscillation of SecondOrder Neutral Delay Differential Equationswith Distributed Deviating Argument

LI Pengsong, ZHANG Xueyan   

  1. College of Sciences, Northeast Dianli University, Jilin 132012, Jilin Province, China
  • Received:2009-12-03 Online:2010-07-26 Published:2011-06-14
  • Contact: LI Pengsong E-mail:pengsongli@yahoo.com.cn

Abstract:

The oscillation of second\|order neutral delay differential equations with distributed deviating argument, a class of new functions Φ(t,s,l) and the function cl
ass F, we relaxed the restriction on function f, namely, when f does not satisfy the following conditions: there exists M>0, such that (f(±uv))≥Mf(u)f(v), uv>0, and hence established some new oscillation criteria for secondorder neutral equations with distributed deviating argument. An example was given to illustrate the results.

Key words: oscillation, neutral delay differential equation, distributed deviating argument

CLC Number: 

  • O175.1