Work

Stability of solutions of the sunflower equation

Year: 2025

Type: article

Abstract: In this paper, the second-order delay differential equation is investigated for uniform asymptotic stability of solutions when p≡0 and uniform bounbedness when p(t) ≠ 0. Using the Lyapunov-Krasovski’s method, necessary and sufficient conditions are obtained for the stability and bounded-ness of solutions. The asymptotic stability result is then used to derive necessary and sufficient conditions for the asymptotic stability of the sunflower equation. Our estimate for the maximal delay under which asymptotic stability is guaranteed, improves on the existing ones.

Source: Proyecciones (Antofagasta)

DOI: 10.22199/issn.0717-6279-6690

Authors: Abdullai Abdurasid, K. D. Aduloju, A. L. Olutimo, M. O. Omeike

Institutions: Federal University of Agriculture, Abeokuta, Lagos State University

Language: Spanish

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4409469755

FWCI: 0.603

Cites: 2

Cited by: 1

Related to: 10