Research output: Contribution to journal › Article › peer-review
On the Robust Stability of Stationary Solutions to a Class of Mathieu-Type Equations. / Demidenko, G. V.; Myagkikh, K. S.
In: Lobachevskii Journal of Mathematics, Vol. 44, No. 3, 03.2023, p. 883-895.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - On the Robust Stability of Stationary Solutions to a Class of Mathieu-Type Equations
AU - Demidenko, G. V.
AU - Myagkikh, K. S.
N1 - The study was carried out within the framework of the state contract of the Sobolev Institute of Mathematics (project no. FWNF-2022-0008). Публикация для корректировки.
PY - 2023/3
Y1 - 2023/3
N2 - We consider a class of nonlinear ordinary differential equations of the second order with parameters. We establish conditions for perturbations of the coefficients of the equations under which the zero solution is asymptotically stable. Estimates for attraction sets of the zero solution and estimates of the stabilization rate of solutions at infinity are obtained. Using these results, theorems on the robust stability of stationary solutions are proven.
AB - We consider a class of nonlinear ordinary differential equations of the second order with parameters. We establish conditions for perturbations of the coefficients of the equations under which the zero solution is asymptotically stable. Estimates for attraction sets of the zero solution and estimates of the stabilization rate of solutions at infinity are obtained. Using these results, theorems on the robust stability of stationary solutions are proven.
KW - Mathieu-type equations
KW - asymptotic stability
KW - attraction sets
KW - estimates for solutions
UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85163008464&origin=inward&txGid=e2f5d9920cbe134001fa165cf598b7a4
UR - https://www.mendeley.com/catalogue/ecaf0190-49d6-36a4-ab6a-0f429b7c975d/
U2 - 10.1134/S1995080223030113
DO - 10.1134/S1995080223030113
M3 - Article
VL - 44
SP - 883
EP - 895
JO - Lobachevskii Journal of Mathematics
JF - Lobachevskii Journal of Mathematics
SN - 1995-0802
IS - 3
ER -
ID: 59243775