Geodesic
Stability of solutions to systems of nonlinear differential equations of neutral type with distributed delay
Matematičeskie zametki SVFU, Tome 29 (2022) no. 3, pp. 93-107 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider a class of systems of nonlinear differential equations of neu tral type with distributed delay and periodic coefficients in the linear part. Using the Lyapunov-Krasovskii functional, sufficient conditions for the exponential stability of the zero solution are established and estimates characterizing the rate of decay of solutions at infinity, as well as estimates of the set of attraction, are obtained.
Keywords: nonlinear differential equation, distributed delay, neutral type, periodiccoefficients, exponential stability, solution estimates, Lyapunov–Krasovskii functional. 
@article{SVFU_2022_29_3_a7,
     author = {T. K. Yskak},
     title = {Stability of solutions to systems of nonlinear differential equations of neutral type with distributed delay},
     journal = {Matemati\v{c}eskie zametki SVFU},
     pages = {93--107},
     year = {2022},
     volume = {29},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SVFU_2022_29_3_a7/}
}
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T. K. Yskak. Stability of solutions to systems of nonlinear differential equations of neutral type with distributed delay. Matematičeskie zametki SVFU, Tome 29 (2022) no. 3, pp. 93-107. http://geodesic.mathdoc.fr/item/SVFU_2022_29_3_a7/