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

Authors

MUSTAFA FAHRİ AKTAŞFollow
BARIŞ BERKAY ERÇIKTIFollow

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.

DOI

10.55730/1300-0098.3494

Keywords

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

First Page

90

Last Page

105

Recommended Citation

AKTAŞ, M, & ERÇIKTI, B (2024). On Lyapunov-type inequalities for five different types of higher order boundary value problems. Turkish Journal of Mathematics 48 (1): 90-105. https://doi.org/10.55730/1300-0098.3494