Lyapunov-type inequalities for third order linear differential equations with two points boundary conditions


AKTAŞ M. F. , ÇAKMAK D.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.48, sa.1, ss.59-66, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 48 Konu: 1
  • Basım Tarihi: 2019
  • Doi Numarası: 10.15672/hjms.2017.514
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Sayfa Sayıları: ss.59-66

Özet

In this paper, by using Green's functions for second order differential equations, we establish new Lyapunov-type inequalities for third order linear differential equations with two points boundary conditions. By using such inequalities, we obtain sharp lower bounds for the eigenvalues of corresponding equations.