LYAPUNOV-TYPE INEQUALITIES FOR THIRD-ORDER LINEAR DIFFERENTIAL EQUATIONS UNDER THE NON-CONJUGATE BOUNDARY CONDITIONS


Creative Commons License

AKTAŞ M. F. , ÇAKMAK D.

DIFFERENTIAL EQUATIONS & APPLICATIONS, cilt.10, ss.219-226, 2018 (ESCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 10 Konu: 2
  • Basım Tarihi: 2018
  • Doi Numarası: 10.7153/dea-2018-10-14
  • Dergi Adı: DIFFERENTIAL EQUATIONS & APPLICATIONS
  • Sayfa Sayıları: ss.219-226

Özet

In this paper, we obtain the best constant in the Lyapunov-type inequality for third-order linear differential equations under the non-conjugate boundary conditions by bounding the Green function of the same problem. In this direction, to the best of our knowledge, there is no paper dealing with Lyapunov-type inequalities for the non-conjugate boundary value problems. By using such inequalities, we obtain sharp lower bounds for the eigenvalues of corresponding equations.