. "US - Spojen\u00E9 st\u00E1ty americk\u00E9" . . . . . "282459" . . "RIV/00216208:11320/10:10057470" . . "1056-2176" . . . "Product integration on time scales" . . "19" . "We introduce the notion of product delta-integral of a matrix function defined on an arbitrary time scale, and thus generalize the classical definition of product integral. We prove that every Riemann delta-integrable matrix function is also product delta-integrable, and investigate the properties of the indefinite product delta-integral, including its relation to linear systems of dynamic equations. Finally, we generalize the notion of the matrix exponential function."@en . . "Product integration on time scales"@en . . "1"^^ . "16"^^ . "regressive function; linear dynamic system; matrix exponential; product integral"@en . "000277616900008" . "We introduce the notion of product delta-integral of a matrix function defined on an arbitrary time scale, and thus generalize the classical definition of product integral. We prove that every Riemann delta-integrable matrix function is also product delta-integrable, and investigate the properties of the indefinite product delta-integral, including its relation to linear systems of dynamic equations. Finally, we generalize the notion of the matrix exponential function." . "[728F80637031]" . "Product integration on time scales" . "1"^^ . "Product integration on time scales"@en . . . . . . "11320" . "1" . "RIV/00216208:11320/10:10057470!RIV11-MSM-11320___" . "P(KJB101120802), Z(MSM0021620839)" . "Slav\u00EDk, Anton\u00EDn" . "Dynamic Systems and Applications" . .