On the robust stability of stationary solutions to a class of Mathieu-type equations

Autor:	Demidenko, G. V., Myagkikh, K. S.
Rok vydání:	2022
Předmět:	Mathematics - Classical Analysis and ODEs Mathematics - Dynamical Systems 34D20 (Primary) 34D10 (Secondary)
Druh dokumentu:	Working Paper
Popis:	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 equation 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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2212.10821 Zobrazit plný text záznamu View this record from Arxiv