On Lyapunov-type inequalities for five different types of higher order boundary value problems

Authors

MUSTAFA FAHRİ AKTAŞFollow
BARIŞ BERKAY ERÇIKTIFollow

DOI

10.55730/1300-0098.3494

Abstract

In this paper, we establish the uniqueness and existence of the classical solution to higher-order boundary value problems. Then, we give a new Lyapunov-type inequalities for higher order boundary value problems. Our study is based on Green’s functions corresponding to the five different types of two-point boundary value problems. In addition, some applications of the obtained inequalities are given.

Keywords

Existence, uniqueness, Green’s functions, Bernoulli polynomials, Lyapunov-type inequalities

First Page

90

Last Page

105

Recommended Citation

AKTAŞ, MUSTAFA FAHRİ and ERÇIKTI, BARIŞ BERKAY (2024) "On Lyapunov-type inequalities for five different types of higher order boundary value problems," Turkish Journal of Mathematics: Vol. 48: No. 1, Article 9. https://doi.org/10.55730/1300-0098.3494
Available at: https://journals.tubitak.gov.tr/math/vol48/iss1/9