Geodesic
Stability of solutions to class of nonlinear systems of integro-differential delay equations
Čelâbinskij fiziko-matematičeskij žurnal, Tome 9 (2024) no. 4, pp. 609-621

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We consider a class of nonlinear systems of nonautonomous differential equations with time-varying concentrated and distributed delays that can be unbounded. Using a special Lyapunov — Krasovskii functional, conditions for exponential stability of the zero solution are obtained. We establish estimates for attraction sets and estimates characterizing stabilization rates of solutions at infinity.
Keywords: time-varying delay systems, estimates for solutions, exponential stability, attraction sets, Lyapunov — Krasovskii functional. 
@article{CHFMJ_2024_9_4_a6,
     author = {I. I. Matveeva},
     title = {Stability of solutions to  class of nonlinear systems of integro-differential delay equations},
     journal = {\v{C}el\^abinskij fiziko-matemati\v{c}eskij \v{z}urnal},
     pages = {609--621},
     publisher = {mathdoc},
     volume = {9},
     number = {4},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHFMJ_2024_9_4_a6/}
}
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I. I. Matveeva. Stability of solutions to  class of nonlinear systems of integro-differential delay equations. Čelâbinskij fiziko-matematičeskij žurnal, Tome 9 (2024) no. 4, pp. 609-621. http://geodesic.mathdoc.fr/item/CHFMJ_2024_9_4_a6/