On Lyapunov-type inequalities for five different types of higher order boundary value problems
Turkish Journal of Mathematics, cilt.48, sa.1, ss.90-105, 2024 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 48 Sayı: 1
- Basım Tarihi: 2024
- Doi Numarası: 10.55730/1300-0098.3494
- Dergi Adı: Turkish Journal of Mathematics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
- Sayfa Sayıları: ss.90-105
- Anahtar Kelimeler: Bernoulli polynomials, Existence, Green’s functions, Lyapunov-type inequalities, uniqueness
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Gazi Üniversitesi Adresli: Evet
Özet
In this paper, we establish the uniqueness and existence of the classical solution to higher-order boundary value problems. Then, we give a new Lyapunov-type inequalities for higher order boundary value problems. Our study is based on Green’s functions corresponding to the five different types of two-point boundary value problems. In addition, some applications of the obtained inequalities are given.