ArticleOriginal scientific text

Title

Oscillation of nonlinear neutral delay differential equations of second order

Authors 1, 2

Affiliations

  1. Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska 87, 61-614 Poznań, Poland
  2. Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, 35516, Egypt

Abstract

Oscillation criteria, extended Kamenev and Philos-type oscillation theorems for the nonlinear second order neutral delay differential equation with and without the forced term are given. These results extend and improve the well known results of Grammatikopoulos et. al., Graef et. al., Tanaka for the nonlinear neutral case and the recent results of Dzurina and Mihalikova for the neutral linear case. Some examples are considered to illustrate our main results.

Keywords

oscillation theorems, second order nonlinear neutral delay differential equations

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Pages:
185-212
Main language of publication
English
Received
2002-01-11
Published
2002
Exact and natural sciences