İki Aralıklı Sturm-Liouville Denklemlerinin Çözümlerinin Salınım ve Ayırma Özellikleri

Year 2023, Volume: 12 Issue: 1, 37 - 45, 30.06.2023

Sevda Nur Öztürk Oktay Mukhtarov

Abstract

Bu çalışmanın esas amacı yeni tipten bir Sturm-Lioville probleminin bazı karşılaştırma ve salınım özelliklerinin incelenmesidir. Araştırdığımız problemin klasik Stum-Liouville probleminden esas farkı ortak sınırı olan iki tane ayrık aralıkta tanımlı olması ve ortak sınırda geçiş şartları olarak adlandırılan iki tane ek şart içermesidir. Klasik yöntemlerin yeni bir modifikasyonunu (biçimini) geliştirerek yeni karşılaştırma ve salınım teoremleri ispat ettik. Bizim sonuçlar karşılaştırma ve salınım hakkındaki bazı klasik sonuçları genelleştiriyor.

Keywords

Klasik olmayan Sturm-Liouville problemi, geçiş şartları, karşılaştırma teoremleri, salınım.

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