Oscillatory and Asymptotic Behavior of Nonlinear Functional Dynamic Equations of Third Order

Autor: Taher S. Hassan, Adel A. Attiya, Mohammad Alshammari, Amir Abdel Menaem, Ayékotan Tchalla, Ismoil Odinaev
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Journal of Function Spaces, Vol 2022 (2022)
Druh dokumentu: article
ISSN: 2314-8888
DOI: 10.1155/2022/7378802
Popis: The purpose of this work is to derive sufficient conditions for the oscillation of all solutions of the third-order functional dynamic equation p2ξϕγ2p1ξϕγ1yΔξΔΔ+pξϕβygξ=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.
Databáze: Directory of Open Access Journals
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