VARIATION OF PARAMETERS AND HOLDER-TYPE STABILITY IN UNPERTURBED MATRIX DIFFERENTIAL SYSTEMS WITH INITIAL TIME DIFFERENCE

Authors

• Dilara Karslıoglu, Yeditepe University
• Coskun Yakar, Gebze Technical University

Page

23-40

Abstract

In this study, we explore the connection between unperturbed matrix differential systems that exhibit variations in both their initial conditions and the starting time. Through the application of variation of parameters methods, we construct integral representations that reveal this relationship. To formulate Holder-type stability criteria under the presence of an initial time shift in nonlinear matrix differential systems, it is essential to employ the variational framework derived from the unperturbed matrix model.

Recommended Citation

Karslıoglu, Dilara and Yakar, Coskun (2026) "VARIATION OF PARAMETERS AND HOLDER-TYPE STABILITY IN UNPERTURBED MATRIX DIFFERENTIAL SYSTEMS WITH INITIAL TIME DIFFERENCE," Baku Mathematical Journal: Vol. 5: Iss. 1, Article 3.
DOI: 10.32010/j.bmj.2026.03
Available at: https://www.bakumathj.org/home/vol5/iss1/3