On Lyapunov-type inequalities for five different types of higher order boundary value problems

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AKTAŞ M. F., Erçikti B. B.

Turkish Journal of Mathematics, cilt.48, sa.1, ss.90-105, 2024 (SCI-Expanded) identifier identifier

  • 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
  • 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.