Lyapunov-type inequalities for Lidstone boundary value problems on time scales

---

Atıf İçin Kopyala

Agarwal R. P., Oguz A. D., Ozbekler A.

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, cilt.114, sa.2, 2020 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 114 Sayı: 2
• Basım Tarihi: 2020
• Doi Numarası: 10.1007/s13398-020-00829-z
• Dergi Adı: REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, MathSciNet, zbMATH, DIALNET, Civil Engineering Abstracts
• Ankara Üniversitesi Adresli: Hayır

Özet

In this paper, we establish new Hartman and Lyapunov-type inequalities for even-order dynamic equations x.2n (t) + (-1)n-1q(t) xs (t) = 0 on time scales T satisfying the Lidstone boundary conditions x.2i (t1) = x.2i (t2) = 0; t1, t2. [t0,8) T for i = 0, 1,..., n - 1. The inequalities obtained generalize and complement the existing results in the literature.