Demidenko, GennadiiMatveeva, Inessa2016-12-092016-12-092002Demidenko, G., Matveeva, I. (2002). On asymptotic stability of solutions to nonlinear systems of differential equations with periodic coefficients. Selcuk Journal of Applied Mathematics, 3 (2), 37-48.1302-7980https://hdl.handle.net/20.500.12395/3457This paper is devoted to the study of a nonlinear system of differential equations with two parameters. We determine values of the parameters under which solutions to the system are asymptotically stable. We obtain also estimates enabling us to indicate the decay rate of solutions at infinity.eninfo:eu-repo/semantics/openAccessNonlinear differential equationsPeriodic linear termsMatrix Lyapunov equationAsymptotic stabilityDecay rate of solutionsLineer olmayan diferansiyel denklemlerPeriyodik doğrusal terimlerMatris Lyapunov denklemiAsimptotik stabiliteÇürüme oranıOn asymptotic stability of solutions to nonlinear systems of differential equations with periodic coefficientsArticle33748