OSCILLATION OF THE EVEN-ORDER NONLINEAR
NEUTRAL DIFFERENTIAL EQUATIONS
V. Ganesan1, S. Janaki2, M. Sathish Kumar3 1 PG & Research Department of Mathematics
Aringar Anna Government Arts College
Namakkal - 637002, Tamilnadu, INDIA 2 The Deputy Directorate of Statistics
Government of Tamil Nadu
Namakkal - 637003, Tamil Nadu, INDIA 3 Department of Mathematics
Paavai Engineering College (Autonomous)
Namakkal - 637018, Tamilnadu, INDIA
The oscillation criteria are investigated for all solutions of even-order neutral differential equations. The obtained results are based on the new comparison theorems, that enable us to reduce the problem of the oscillation of the higher order equation to the oscillation of the first order equation. The obtained comparison principles essentially simplify the examination of the studied equations.
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