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-Expanded) identifier identifier

Abstract

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.