Work

Lyapunov-type inequalities for a second-order differential equation with a nonlocal source term

Year: 2025

Type: article

Abstract: A second-order differential equation with a nonlocal source term, posed on an interval $ (a, b) $, is investigated. A general Lyapunov-type inequality for the considered differential equation is established. Our approach is completely different to those used in the literature. Namely, our method is based on the notion of the barycenter of a function and a Fejér-type inequality due to Pavić [Filomat. 32(16) (2018) 5793-5802]. Next, several Lyapunov-type inequalities are deduced for different types of boundary conditions.

Source: Discrete and Continuous Dynamical Systems - S

DOI: 10.3934/dcdss.2025052

Authors: Mohamed Jleli, Bessem Samet

Institution: King Saud University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4409620363

FWCI: 1.886

Cites: 17

Cited by: 1

Related to: 10