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

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 improv...

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Published inJournal of function spaces Vol. 2022; pp. 1 - 9
Main Authors Hassan, Taher S., Attiya, Adel A., Alshammari, Mohammad, Abdel Menaem, Amir, Tchalla, Ayékotan, Odinaev, Ismoil
Format Journal Article
LanguageEnglish
Published New York Hindawi 15.06.2022
Hindawi Limited
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Summary: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.
ISSN:2314-8896
2314-8888
DOI:10.1155/2022/7378802