Behavior of the Second Moment of the Solution to the Autonomous Stochastic Linear Partial Differential Equation with Random Parameters in the Right-Hand Side

Verfasser / Beitragende:
[V. Koroliuk, I. Yurchenko, V. Yasynskyy]
Ort, Verlag, Jahr:
2015
Enthalten in:
Cybernetics and Systems Analysis, 51/1(2015-01-01), 56-63
Format:
Artikel (online)
ID: 605518483
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024 7 0 |a 10.1007/s10559-015-9697-x  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10559-015-9697-x 
245 0 0 |a Behavior of the Second Moment of the Solution to the Autonomous Stochastic Linear Partial Differential Equation with Random Parameters in the Right-Hand Side  |h [Elektronische Daten]  |c [V. Koroliuk, I. Yurchenko, V. Yasynskyy] 
520 3 |a 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. 
540 |a Springer Science+Business Media New York, 2015 
690 7 |a stochastic partial differential equation  |2 nationallicence 
690 7 |a mean square stability  |2 nationallicence 
690 7 |a asymptotic stability  |2 nationallicence 
700 1 |a Koroliuk  |D V.  |u Institute of Mathematics, National Academy of Sciences of Ukraine, Kyiv, Ukraine  |4 aut 
700 1 |a Yurchenko  |D I.  |u Yu. Fedkovych Chernivtsi National University, Chernivtsi, Ukraine  |4 aut 
700 1 |a Yasynskyy  |D V.  |u Yu. Fedkovych Chernivtsi National University, Chernivtsi, Ukraine  |4 aut 
773 0 |t Cybernetics and Systems Analysis  |d Springer US; http://www.springer-ny.com  |g 51/1(2015-01-01), 56-63  |x 1060-0396  |q 51:1<56  |1 2015  |2 51  |o 10559 
856 4 0 |u https://doi.org/10.1007/s10559-015-9697-x  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
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950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10559-015-9697-x  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Koroliuk  |D V.  |u Institute of Mathematics, National Academy of Sciences of Ukraine, Kyiv, Ukraine  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Yurchenko  |D I.  |u Yu. Fedkovych Chernivtsi National University, Chernivtsi, Ukraine  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Yasynskyy  |D V.  |u Yu. Fedkovych Chernivtsi National University, Chernivtsi, Ukraine  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Cybernetics and Systems Analysis  |d Springer US; http://www.springer-ny.com  |g 51/1(2015-01-01), 56-63  |x 1060-0396  |q 51:1<56  |1 2015  |2 51  |o 10559