Abstract
We consider a quasilinear system of differential equations with periodic coefficients in the linear terms. We obtain estimates for the attraction domain of the zero solution and establish estimates for the decay rate of solutions at infinity. The results are stated in terms of the integrals of the norm of a periodic solution to the Lyapunov differential equation.
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Demidenko, G.V., Matveeva, I.I. On Stability of Solutions to Quasilinear Periodic Systems of Differential Equations. Siberian Mathematical Journal 45, 1041–1052 (2004). https://doi.org/10.1023/B:SIMJ.0000048919.83985.25
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DOI: https://doi.org/10.1023/B:SIMJ.0000048919.83985.25