On Lyapunov-type inequalities for odd order boundary value problems


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AKTAŞ M. F. , ÇAKMAK D. , AHMETOĞLU A.

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası:
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1186/s13660-019-2099-2
  • Dergi Adı: JOURNAL OF INEQUALITIES AND APPLICATIONS

Özet

In this article, we construct new Lyapunov-type inequalities for odd order boundary value problems. The aim of this article is to find the maximum of Green's function |G2n+1(x,s)| corresponding to two-point boundary value problems. To the best of our knowledge, there is no paper dealing with Lyapunov-type inequalities for odd order boundary value problems by bounding the Green's function of the same problem. In addition, some applications of the obtained inequalities are also given.