On oscillatory behaviour of third-order half-linear dynamic equations on time scales

• Autorzy: Grace Said R. , Chhatria Gokula Nanda

Identyfikatory

DOI

10.7494/OpMath.2022.42.6.849

• Języki publikacji: EN

Abstrakty

EN

In this work, we study the oscillation and asymptotic behaviour of third-order nonlinear dynamic equations on time scales. The findings are obtained using an integral criterion as well as a comparison theorem with the oscillatory properties of a first-order dynamic equation. As a consequence, we give conditions which guarantee that all solutions to the aforementioned problem are only oscillatory, different from any other result in the literature. We propose novel oscillation criteria that improve, extend, and simplify existing ones in the literature. The results are associated with a numerical example. We point out that the results are new even for the case T = R or T = Z.

Słowa kluczowe

EN

oscillation; asymptotic behaviour; dynamic equation; time scales; dynamic equations on time scales; comparison method; Riccati technique

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2022
• Tom: Vol. 42, no. 6
• Strony: 849--865
• Opis fizyczny: Bibliogr. 45 poz.

Twórcy

autor

Grace Said R.

• Cairo University, Department of Engineering Mathematics, Faculty of Engineering, Orman, Giza 12221, Egypt

• https://orcid.org/0000-0001-8783-5227

autor

Chhatria Gokula Nanda

• Sambalpur University, Department of Mathematics, Sambalpur-768019, India

• https://orcid.org/0000-0002-2092-6420

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).