Zobrazeno 1 - 10
of 53
pro vyhledávání: '"D. Ya. Khusainov"'
Publikováno v:
Discrete Dynamics in Nature and Society, Vol 2018 (2018)
The paper investigates the exponential stability and exponential estimate of the norms of solutions to a linear system of difference equations with multiple delays xk+1=Axk+∑i=1sBixk-mi, k=0,1,…, where s∈N, A and Bi are square matrices, and mi
Externí odkaz:
https://doaj.org/article/d6550447300c4c6191f7ca6414f3b879
Publikováno v:
Abstract and Applied Analysis, Vol 2011 (2011)
The present investigation deals with global instability of a general n-dimensional system of ordinary differential equations with quadratic right-hand sides. The global instability of the zero solution in a given cone is proved by Chetaev's method, a
Externí odkaz:
https://doaj.org/article/e85129df91a347f3851b1a1190fad717
Publikováno v:
Boundary Value Problems, Vol 2010 (2010)
Externí odkaz:
https://doaj.org/article/23dd7c00009245c180b511b9e9d50562
Publikováno v:
Advances in Difference Equations, Vol 2010 (2010)
Systems are considered related to the control of processes described by oscillating second-order systems of differential equations with a single delay. An explicit representation of solutions with the aid of special matrix functions called a delayed
Externí odkaz:
https://doaj.org/article/9570c68ff9c84c5c83a36770504ab7a7
Publikováno v:
Advances in Difference Equations, Vol 2009 (2009)
Planar linear discrete systems with constant coefficients and weak delay are considered. The characteristic equations of such systems are identical with those for the same systems but without delayed terms. In this case, the space of solutions with a
Externí odkaz:
https://doaj.org/article/e9fbd84fd77f4a948be5e4afa2258339
Publikováno v:
Journal of the Franklin Institute. 356:4811-4841
The paper considers a process controlled by a system of delayed differential equations. Under certain assumptions, a control function is determined such that the zero solution of the system is asymptotically stable and, for an arbitrary solution, the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::446bdfa62fd87ac2c9a3084bafbf79bc
https://doi.org/10.1016/j.jfranklin.2019.04.021
https://doi.org/10.1016/j.jfranklin.2019.04.021
Publikováno v:
International Applied Mechanics. 54:346-357
A system of perturbed equations of motion with quadratic nonlinearity is considered. New estimates of the Lyapunov function are established and two conclusions are formulated. New motion constraints are presented. For two coupled systems of equations
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::adee7c826df6ea663536c1a7cce29152
https://doi.org/10.1007/s10778-018-0886-y
https://doi.org/10.1007/s10778-018-0886-y
Publikováno v:
Applied Mathematics Letters. 51:68-73
In the paper the exponential stability and exponential estimation of the norm of solutions to a linear system of difference equations with single delay x ( k + 1 ) = A x ( k ) + B x ( k − m ) , k = 0 , 1 , … is studied, where A , B are square con
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::230d9a24acd26c2ccdf2d86703c94eb6
https://doi.org/10.1016/j.aml.2015.07.008
https://doi.org/10.1016/j.aml.2015.07.008
Publikováno v:
Discrete Dynamics in Nature and Society, Vol 2018 (2018)
Discrete Dynamics in Nature and Society. 2018, vol. 2018, issue 2018, p. 1-7.
Discrete Dynamics in Nature and Society. 2018, vol. 2018, issue 2018, p. 1-7.
The paper investigates the exponential stability and exponential estimate of the norms of solutions to a linear system of difference equations with multiple delays xk+1=Axk+∑i=1sBixk-mi, k=0,1,…, where s∈N, A and Bi are square matrices, and mi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::690d84af6239988f86277487035c0151
Publikováno v:
Nonlinear Oscillations. 14:589-601
We consider the Leont’ev dynamical model described by a system of delay differential equations. The stability of a program solution is studied by the method of Lyapunov functions with Razumikhin condition. We obtain an estimate for the convergence
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0a77b935eea211f973b15b6c30abc85b
https://doi.org/10.1007/s11072-012-0179-z
https://doi.org/10.1007/s11072-012-0179-z