Stability of solutions to systems of linear differential equations of neutral type with infinite distributed delay

T. K. Iskakov

Čelâbinskij fiziko-matematičeskij žurnal, Tome 9 (2024) no. 4, pp. 573-584.

Résumé

A class of systems of linear differential equations of neutral type with infinite distributed delay and periodic coefficients is considered. Using the Lyapunov–Krasovskii functional, sufficient conditions for exponential stability of the zero solution are obtained, estimates of solutions characterizing exponential decrease at infinity are established, conditions for perturbations of the coefficients of the system, under which exponential stability is preserved, are specified.

Détail

Keywords: differential equations with distributed delay, neutral type equation, periodic coefficients, stability, Lyapunov–Krasovskii functional.

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