Oscillatory and Asymptotic Behavior of Nonlinear Functional Dynamic Equations of Third Order. (15th June 2022)

• Record Type: Journal Article
• Authors: Hassan, Taher S.; Attiya, Adel A.; Alshammari, Mohammad; Abdel Menaem, Amir; Tchalla, Ayékotan; Odinaev, Ismoil
• Other Names: Abdo Mohammed S. Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2022(2022)
• Publication Date: 2022-06-15
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2022/7378802
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : The purpose of this work is to derive sufficient conditions for the oscillation of all solutions of the third-order functional dynamic equation p 2 ξ ϕ γ 2 p 1 ξ ϕ γ 1 y Δ ξ Δ Δ + p ξ ϕ β y g ξ = 0, on a time scale T . In addition, we present some Hille-type conditions for generalized third-order dynamic equations that improve and extend significant contributions reported in the literature without imposing time-scale restrictions. An example is given to demonstrate the essential results.