Abstract
This work is concerned with the oscillatory behavior of solutions of even-order neutral differential equations. By using Riccati transformation and the integral averaging technique, we obtain a new oscillation criteria. This new theorem complements and improves some known results from the literature. An example is provided to illustrate the main results.
Highlights
Neutral differential equations are used in numerous applications in technology and natural science
Some scholars have been attracted by the problems of the oscillations of differential equations and made relative advances therein, as in [2,3,4,5,6,7,8,9,10,11]
In the noncanonical form, Li and Rogovchenko [17] studied the asymptotic properties of solutions of higher-order neutral differential (2) under the assumptions that allow applications to even- and odd-order equations with delayed and advanced arguments
Summary
Neutral differential equations are used in numerous applications in technology and natural science. In the noncanonical form, Li and Rogovchenko [17] studied the asymptotic properties of solutions of higher-order neutral differential (2) under the assumptions that allow applications to even- and odd-order equations with delayed and advanced arguments. Using the integral averaging technique and the Riccati transformation, we study the asymptotic properties of solutions of even order neutral delay differential equations of the form r ( t ) z ( n −1) ( t ). This paper is concerned with the oscillatory behavior of a class of even-order neutral differential equations with multi-delays. Using the integral averaging technique, we establish a Philos type oscillation criterion This new theorem complements and improves some known results in the literature. An example is provided to illustrate the main results
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