Oscillations of delay differential equations with variable coefficients

E. Jagathprabhav 1 * and V. Dharmaiah 2

doi:10.26637/MJM0802/0028

Oscillations of delay differential equations with variable coefficients

Authors :

E. Jagathprabhav^{1 *} and V. Dharmaiah ²

Author Address :

^1,2 Department of Mathematics, Osmania University, Hyderabad-500007, India.

*Corresponding author.

Abstract :

The purpose of this paper is to obtain a sharp sufficient condition for the oscillation of the delay differential equation.
\begin{align*}
y'(x)+q(x)y(x-\tau)=0, \quad x\geq x_0
\end{align*}
where $q(x)\in C([x_0 , \infty), R^{+})$ which improves previously known results.

Keywords :

Delay differential equation, Oscillatory property.

DOI :

10.26637/MJM0802/0028

Article Info :

Received : February 02, 2020; Accepted : April 28, 2020.