Ambarzumyan Theorem for Conformable Type Sturm-Liouville Problem on Time Scales

Year 2024, Volume: 19 Issue: 1, 39 - 44, 28.03.2024

Ayşe Çiğdem Yar Tuba Gulsen Emrah Yılmaz

https://doi.org/10.55525/tjst.1339640

Abstract

In this study, we give an Ambarzumyan type theorem for a Sturm-Liouville dynamic equation which includes conformable type derivative on time scales with conformable Robin boundary conditions. Under certain conditions, we prove that potential function can be determined by using only first eigenvalue.

Keywords

Ambarzumyan Theorem, Conformable Derivative, Sturm-Liouville Equation, Time Scale.

Zaman Skalasında Uyumlu Tip Sturm-Liouville Problemi için Ambarzumyan Teoremi

Abstract

Bu çalışmada, uygun Robin sınır koşullarına sahip zaman skalasında uyumlu türev içeren bir Sturm-Liouville dinamik denklemi için Ambarzumyan tipi bir teorem veriyoruz. Belirli koşullar altında potansiyel fonksiyonun yalnızca birinci özdeğer kullanılarak belirlenebileceğini kanıtlıyoruz.

Keywords

Ambarzumyan Teoremi, Uyumlu Türev, Sturm-Liouville Denklemi, Zaman Skalası

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