Wintner-type nonoscillation theorems for conformable linear Sturm-Liouville differential equations

• Autorzy: Ishibashi Kazuki

Identyfikatory

DOI

10.7494/OpMath.2024.44.5.727

• Języki publikacji: EN

Abstrakty

EN

In this study, we addressed the nonoscillation of the Sturm-Liouville differential equation with a differential operator, which corresponds to a proportional-derivative controller. The equation is a conformable linear differential equation. A Wintner-type nonoscillation theorem was established to be applied to such equations. Using this theorem, we provided a sharp nonoscillation condition that guarantees that all nontrivial solutions to Euler-type conformable linear equations do not oscillate. The main nonoscillation theorems can be proven by introducing a Riccati inequality, which corresponds to the conformable linear equation of the Sturm-Liouville type.

Słowa kluczowe

EN

nonoscillation; conformable differential equation; proportional derivative controller; Riccati technique; Euler equation

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2024
• Tom: Vol. 44, no. 5
• Strony: 727--748
• Opis fizyczny: Bibliogr. 28 poz., wykr.

Twórcy

autor

Ishibashi Kazuki

• Department of Electrical Systems Engineering, Hiroshima Institute of Technology, 2-1-1 Miyake, Saeki-ku, Hiroshima 731-5193, Japan

• https://orcid.org/0000-0003-1812-9980

Bibliografia

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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)