New Perspectives on Spectral Properties of Differential Operators

Özet

This study examines spectral properties of differential operators. A formal framework is developed and compared with established approaches. Key themes include spectral theory, differential operators, eigenvalues. Several new theorems are proved and illustrated with examples that extend classical results in the literature.

Künye

Yayın türü

Makale

Dergi / Yayınevi / Etkinlik

Applied Mathematics Open

Yıl

2018

Dil

İngilizce

İndeksler

WoS SCI-E, Scopus

Çeyreklik

Q1

Etki faktörü

6.255

WoS araştırma alanı

Mathematics

Anahtar sözcükler

spectral theory, differential operators, eigenvalues

Yazar sırası (kurum yazarı)

Last

DOI

10.5555/avys.2018.0100

Atıf (WoS / Scopus / Toplam)

43 / 50 / 61

Kurum araştırmacısı

Dr. Öğr. Üyesi Kaan Alp Sarıkaya

Erişim ve lisans

Açık erişim · ccCC BY

Kalıcı bağlantı

https://avys.mr1.com.tr/yayin/130

BMSKA Sınıflandırma Gerekçesi

Hiçbir amaca atanmadı: en yüksek skor 6.9, atama eşiği 28'in altında (SDG 5: Toplumsal Cinsiyet Eşitliği en yakın aday). Eşleşen kavramlar: yok.

Model: TF-IDF (karakter n-gram) + Türkçe/İngilizce anahtar kelime sözlüğü v1 · atama eşiği 28.0 · yöntem: sorgu-seti · JSON gerekçe · tüm eşleşme kayıtları

Veri kaynağı: Kurgusal örnek (demo) kayıt — DOI test önekidir, gerçek yayın değildir

Tam Metin

Bu yayın için tam metin yüklenmemiş.

Bu yayının aldığı atıflar (10)

Dizinlerin bildirdiği toplam atıf: 61; aşağıda kayıtlı olanlar listelenmiştir.

1. Advances in eigenvalues
   Luca Ferrari, Sofia Lindqvist · Advances in Mathematics · 2026
   Google Scholar · DOI: 10.5555/ref.2026.3318
2. Assessing spectral theory
   Mustafa Eren Çakır, Sofia Lindqvist · Advances in Mathematics · 2026
   WoS · DOI: 10.5555/ref.2026.1163
3. Advances in differential operators
   Mustafa Eren Çakır · Mathematics Letters · 2026
   Google Scholar · DOI: 10.5555/ref.2026.7224
4. A review of differential operators
   Buse Nur Aydın, Gökçe Mine Tan, Luca Ferrari · Mathematics Open · 2025
   Scopus · DOI: 10.5555/ref.2025.3373
5. Machine learning approaches for differential operators
   Cem Alper Yıldız · Journal of Mathematics Research · 2025
   Google Scholar · DOI: 10.5555/ref.2025.2259
6. Machine learning approaches for spectral theory
   Buse Nur Aydın, Nikos Papadakis, Sofia Lindqvist · International Journal of Mathematics · 2023
   WoS
7. Recent trends in eigenvalues
   Marko Jovanović, Cem Alper Yıldız · Journal of Mathematics Research · 2022
   Google Scholar · DOI: 10.5555/ref.2022.4814
8. Towards sustainable spectral theory
   Cem Alper Yıldız, Nikos Papadakis, Ahmet Kaan Yılmaz · Journal of Mathematics Research · 2020
   WoS · DOI: 10.5555/ref.2020.7478
9. Numerical Modelling of Battery Energy Storage Systems in Kırklareli Province Öz atıf
   Kaan Alp Sarıkaya · Renewable Energy Systems Letters · 2019
   WoS · DOI: 10.5555/avys.2019.0103
10. A review of spectral theory
    Mustafa Eren Çakır · Mathematics Open · 2019
    Google Scholar · DOI: 10.5555/ref.2019.8463

Kaynakça: bu yayının yaptığı atıflar (11)

1. Numerical Modelling of Building Energy Efficiency in Türkiye Öz atıf
   Kaan Alp Sarıkaya · Journal of Renewable Energy Systems Research · 2016
   Google Scholar · DOI: 10.5555/avys.2016.0098
2. Numerical Modelling of Building Energy Efficiency in Türkiye Öz atıf
   Kaan Alp Sarıkaya · Journal of Renewable Energy Systems Research · 2016
   Scopus · DOI: 10.5555/avys.2016.0098
3. Numerical Modelling of Building Energy Efficiency in Türkiye Öz atıf
   Kaan Alp Sarıkaya · Journal of Renewable Energy Systems Research · 2016
   Google Scholar · DOI: 10.5555/avys.2016.0098
4. Modelling spectral theory
   Buse Nur Aydın · Journal of Mathematics Research · 2014
   Google Scholar · DOI: 10.5555/ref.2014.7191
5. Machine learning approaches for eigenvalues
   Mustafa Eren Çakır, Deniz Ada Korkut · International Journal of Mathematics · 2014
   WoS · DOI: 10.5555/ref.2014.1735
6. Assessing spectral theory
   Jan Novák, Sofia Lindqvist · International Journal of Mathematics · 2010
   WoS · DOI: 10.5555/ref.2010.6413
7. Machine learning approaches for differential operators
   Maria K. Petrova, Cem Alper Yıldız, Mustafa Eren Çakır · Mathematics Letters · 2005
   WoS · DOI: 10.5555/ref.2005.1824
8. An experimental study of differential operators
   Deniz Ada Korkut, Nikos Papadakis · Mathematics Open · 2005
   Google Scholar · DOI: 10.5555/ref.2005.2521
9. Assessing spectral theory
   Buse Nur Aydın · International Journal of Mathematics · 2004
   Scopus · DOI: 10.5555/ref.2004.3286
10. Recent trends in spectral theory
    Barış Cem Uysal, Ahmet Kaan Yılmaz, Jan Novák · Advances in Mathematics · 2003
    WoS · DOI: 10.5555/ref.2003.2543
11. Assessing spectral theory
    Selin Duru Arslan · Journal of Mathematics Research · 2003
    Scopus · DOI: 10.5555/ref.2003.1525