On the oscillation of bounded solutions of higher order nonlinear neutral delay differential equations with oscillating coefficients

Document Type : Original Article

Authors

1 Department of Mathematics, Faculty of Science, Menoufia University, Shebeen EL-Koom, Egypt

2 Department of Mathematics, Faculty of Science, Benha University, Benha-Kalubia 13518, Egypt

Abstract

In this paper, new sufficient conditions are established for the oscillation of all bounded solutions of higher order dynamic
equations 
[ ( )( ( )) ] ( ) ( ( ( ))) = 0 for [ , ) ,
0
1
   T
  
r t z t q t f x t t t
n


where 
z(t):= x(t)  p(t)x( (t))
and 
  0
is a constant. The obtained results extend and supplement certain known 
results in literature. .

Keywords