"Journal of Mathematical Analysis and Applications" . "10.1016/j.jmaa.2011.10.043" . . "0022-247X" . "Averaging dynamic equations on time scales"@en . . . "Averaging dynamic equations on time scales" . . . . "388" . "RIV/00216208:11320/12:10103532!RIV13-AV0-11320___" . "[16CDC5AA7A3A]" . "Averaging dynamic equations on time scales" . . . . "11320" . "17"^^ . . "000299127900029" . . . . "Averaging dynamic equations on time scales"@en . "1"^^ . "US - Spojen\u00E9 st\u00E1ty americk\u00E9" . "The aim of this paper is to generalize the classical theorems on averaging of differential equations. We focus on dynamic equations on time scales and prove both periodic and nonperiodic version of the averaging theorem, as well as a related theorem on the existence of periodic solutions." . "124314" . "I, P(KJB101120802), Z(MSM0021620839)" . . "RIV/00216208:11320/12:10103532" . "1"^^ . "generalized ordinary differential equations; nonperiodic averaging; periodic solutions; periodic time scales; periodic averaging; averaging method"@en . "2" . . . . . . "Slav\u00EDk, Anton\u00EDn" . . "The aim of this paper is to generalize the classical theorems on averaging of differential equations. We focus on dynamic equations on time scales and prove both periodic and nonperiodic version of the averaging theorem, as well as a related theorem on the existence of periodic solutions."@en . . .