Oscillation criteria for a class of third order damped differential equations

Abstract

The present study concerns the oscillation of a class of third-order nonlinear delay differential equations with middle term. We offer a new description of oscillation of the third-order equations in terms of oscillation of a related well studied second-order linear differential equation without damping. By using the integral averaging technique, we establish new oscillation results for this equation. Some examples are provided to illustrate the main results.

Keywords

• Oscillation
• Third-order
• Functional delay
• Differential equations