Geodesic
Finding the parameters of exponential estimates of solutions to the Cauchy problem for some systems of linear delay differential equations
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 2, pp. 1307-1318

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We consider the problem of constructing component-wise exponentially decreasing estimates of the solution to the Cauchy problem for systems of linear delay differential equations. Systems of differential equations contain matrices of a special type and belong to the systems of Wazewski type equations. The properties of nonsingular M-matrices, methods and algorithms for finding the roots of nonlinear equations are used. Examples of the study of specific systems of differential equations are presented.
Keywords: delay differential equation, systems of Wazewski differential equations, nonsingular M-matrix, component-wise exponentially decreasing estimates, linear and nonlinear mathematical models of living systems.
Mots-clés : nonnegative matrix 
@article{SEMR_2021_18_2_a50,
     author = {N. V. Pertsev and K. K. Loginov},
     title = {Finding the parameters of exponential estimates of solutions to the {Cauchy} problem for some systems of linear delay differential equations},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1307--1318},
     publisher = {mathdoc},
     volume = {18},
     number = {2},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2021_18_2_a50/}
}
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N. V. Pertsev; K. K. Loginov. Finding the parameters of exponential estimates of solutions to the Cauchy problem for some systems of linear delay differential equations. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 2, pp. 1307-1318. http://geodesic.mathdoc.fr/item/SEMR_2021_18_2_a50/