Some Oscillation Criteria for a Class of Third-Order Delay Differential Equations. (14th July 2022)

• Record Type: Journal Article
• Authors: Wang, Miao; Dong, Lifei
• Other Names: Phang Chang Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2022(2022)
• Publication Date: 2022-07-14
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2022/9347942
• Languages: English
• ISSNs: 2314-4629

Abstract

Abstract : In this paper, we study oscillatory properties of solutions to a class of third-order differential equation a t r t x ′ t ′ α ′ + p t r t x ′ t ′ α + q t f x σ t = 0, where f x / x β ≥ k > 0 and α and β are quotients of odd positive integers. By using the generalized Riccati technique, we obtain some oscillation and asymptotic criteria when α ≥ β and α < β . Finally, some examples are given to show the effectiveness of the criteria obtained.