Stability of homogeneous differential-difference systems of neutral type

Title	Stability of homogeneous differential-difference systems of neutral type
Authors	D. S. Evtina¹, A. P. Zhabko¹ ¹Saint Petersburg State University
Annotation	This work is devoted to the analysis of the stability of homogeneous differential-difference systems of neutral type using the Razumikhin method. It is demonstrated that choosing a specific neighborhood, Razumikhin's theorem ensures asymptotic stability of the zero solution of such type of systems. In the future the estimation of this neighborhood using the Lyapunov-Krasovskii functional method and the comparison of these two results is planned.
Keywords	differential equations, time-delay systems, neutral type delay, homogeneous systems, stability.
Citation	Evtina D. S., Zhabko A. P. ''Stability of homogeneous differential-difference systems of neutral type'' [Electronic resource]. Mathematical modeling, numerical methods, and software systems: Collection of materials from the 12th All‑Russian Scientific Youth School‑Seminar named after E. V. Voskresensky (Saransk, July 21–24, 2026). - pp. 69-73. Available at: https://conf.svmo.ru/files/2026/papers/paper76.pdf. - Date of access: 25.09.2026.