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Parhi, N. and Das, P. (1992) Oscillation Criteria for a Class of Nonlinear Differential Equations of Third Order. Annales Polonici Mathematici, 57, 219-229. https://doi.org/10.4064/ap-57-3-219-229

has been cited by the following article:

• TITLE: Conditions of Oscillation for a Linear Third-Order Differential Equation

  AUTHORS: Anees A. Fthee, Thair Y. Thanoon

  KEYWORDS: Oscillation Criteria, Oscillatory Solution

  JOURNAL NAME: Open Access Library Journal, Vol.8 No.8, August 23, 2021

  ABSTRACT: 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.