caa a22 4500 605518483 CHVBK 20210128100725.0 cr unu---uuuuu 210128e20150101xx s 000 0 eng 10.1007/s10559-015-9697-x doi (NATIONALLICENCE)springer-10.1007/s10559-015-9697-x Behavior of the Second Moment of the Solution to the Autonomous Stochastic Linear Partial Differential Equation with Random Parameters in the Right-Hand Side [Elektronische Daten] [V. Koroliuk, I. Yurchenko, V. Yasynskyy] The existence of a strong solution of the linear stochastic partial differential equation (LSPDE) in the corresponding space with random parameters is proved. The sufficient conditions are obtained for the asymptotic stability and mean square instability of the strong solution of the LSPDE. Springer Science+Business Media New York, 2015 stochastic partial differential equation nationallicence mean square stability nationallicence asymptotic stability nationallicence Koroliuk V. Institute of Mathematics, National Academy of Sciences of Ukraine, Kyiv, Ukraine aut Yurchenko I. Yu. Fedkovych Chernivtsi National University, Chernivtsi, Ukraine aut Yasynskyy V. Yu. Fedkovych Chernivtsi National University, Chernivtsi, Ukraine aut Cybernetics and Systems Analysis Springer US; http://www.springer-ny.com 51/1(2015-01-01), 56-63 1060-0396 51:1<56 2015 51 10559 https://doi.org/10.1007/s10559-015-9697-x text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10559-015-9697-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Koroliuk V. Institute of Mathematics, National Academy of Sciences of Ukraine, Kyiv, Ukraine aut NATIONALLICENCE 700 1- Yurchenko I. Yu. Fedkovych Chernivtsi National University, Chernivtsi, Ukraine aut NATIONALLICENCE 700 1- Yasynskyy V. Yu. Fedkovych Chernivtsi National University, Chernivtsi, Ukraine aut NATIONALLICENCE 773 0- Cybernetics and Systems Analysis Springer US; http://www.springer-ny.com 51/1(2015-01-01), 56-63 1060-0396 51:1<56 2015 51 10559