Behavior of the Second Moment of the Solution to the Autonomous Stochastic Linear Partial Differential Equation with Random Parameters in the Right-Hand Side
Gespeichert in:
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)
Online Zugang:
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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 |
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| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 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 | ||