Asymptotic properties of even-order functional differential equations with deviating argument

Description

In this paper, new effective technique for investigation of the higher order differential equation

(E)   \begin{equation*} y^{(n)}(t)=p(t)y(\tau(t)). \end{equation*}

is established. We offer new criteria for excluding certain types of nonoscillatory solutions which improve all existing results from the literature. Examples are provided to illustrate the importance of the main results.

 

 

 

Additional information

Author(s)

Baculìková, B., Džurina, J.

DOI

https://doi.org/10.37193/CJM.2024.01.02