Oscillation of even order linear functional differential equations with mixed deviating arguments

Abstract

In the paper, we study oscillation and asymptotic properties for even order linear functional differential equations \[y^{(n)}(t)=p(t)y(\tau(t))\] with mixed deviating arguments, i.e. when both delayed and advanced parts of \(\tau(t)\) are significant. The presented results essentially improve existing ones.

Keywords

• higher order differential equations
• mixed argument
• monotonic properties
• oscillation