Work

Ulam Stability of Second-Order Periodic Linear Differential Equations with Periodic Damping

Year: 2024

Type: article

Abstract: We addressed the Ulam stability of second-order periodic linear differential equations with periodic damping. The necessary and sufficient conditions for the Ulam stability of second-order periodic linear differential equations were obtained by providing an Ulam stability theorem and an Ulam instability theorem. In particular, when the elastic coefficient remained constant at 0, a very general conclusion was obtained. These results expand on the conclusions in the relevant literature. In addition, for the situation of constant coefficients, the minimum Ulam constant is provided.

Source: Symmetry

DOI: 10.3390/sym16111459

Authors: Jin Li, Xiaofang Xia, Chuanfang Zhang, Renlian Chen

Institution: Guangdong University of Petrochemical Technology

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,728

Funder: Guangdong University of Petrochemical Technology