Geodesic
Estimates for solutions of one class of systems of equations of neutral type with distributed delay
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 416-427

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In the paper we consider a system of linear differential equations of neutral type with periodic coefficients and with distributed delay. Sufficient conditions for the exponential stability of the zero solution of this system are given, estimates for solutions that characterize the exponential decrease at infinity are indicated. In the study of exponential stability, the modified Lyapunov–Krasovskii functional is used. Also for system of delay difference equations, a criterion for the exponential stability of the zero solution in terms of the solvability of the matrix equation with a delayed argument is proved.
Keywords: exponential stability, Lyapunov–Krasovskii functional, distributed delay, periodic coefficient.
Mots-clés : neutral type equation 
@article{SEMR_2020_17_a88,
     author = {T. Yskak},
     title = {Estimates for solutions of one class of systems of equations of neutral type with distributed delay},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {416--427},
     publisher = {mathdoc},
     volume = {17},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2020_17_a88/}
}
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T. Yskak. Estimates for solutions of one class of systems of equations of neutral type with distributed delay. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 416-427. http://geodesic.mathdoc.fr/item/SEMR_2020_17_a88/