Author(s)

Anees A. Fthee, Thair Y. Thanoon

Department of Mathematics, College of Computer and Mathematical Sciences University of Mosul, Al-Mosul, Iraq.

We introduce some new oscillation criteria for a third-order linear differential equation with variable coefficients in this study. We found out the corollary as a result of the Storm comparison theory and used it to prove some theorems. Through it, we were able to achieve the necessary conditions for oscillation. We concluded that the solution to the differential equation is oscillating if it is bounded from below, and also if the discriminant of the equation is negative, its solution is oscillatory. We have given examples illustrating these results.

Oscillation Criteria, Oscillatory Solution

Fthee, A.A. and Thanoon, T.Y. (2021) Conditions of Oscillation for a Linear Third-Order Differential Equation. Open Access Library Journal, 8, 1-7. doi: 10.4236/oalib.1107649.