Asymptotic and Oscillatory Properties of Noncanonical Delay Differential Equations

Abstract

In this work, by establishing new asymptotic properties of non-oscillatory solutions of the even-order delay differential equation, we obtain new criteria for oscillation. The new criteria provide better results when determining the values of coefficients that correspond to oscillatory solutions. To explain the significance of our results, we apply them to delay differential equation of Euler-type.

Keywords

• delay differential equation
• oscillation
• noncanonical case