Minárik, JánFtorek, BranislavChupáč, Radoslav2024-06-262024-06-2620241337-8996http://drepo.uniza.sk/xmlui/handle/hdluniza/1095This article deals with the asymptotic solution in analytical form of some second-order linear differential equation with time-dependent parameters. Time-periodic modulation of the parameters of the oscillatory system can lead to interesting phenomena. The analytical solution is compared with the numerical solution obtained by the Runge-Kutta method in the MATLAB environment. The convergence conditions of this analytical method are discussed.skoscillationdifferential equationasymptotic solutionMathieu equationParametricky modulovaný oscilátor v asymptotickom prípadeParametrically modulated oscillator in the asymptotic caseArticlehttps://doi.org/10.26552/tech.C.2024.2.11