Polish Scientific Publishers IFTR
Od Vol. 43, issue 1 (1991) wyd.: Polish Scientific Publishers = PWN ; Od Vol. 50, issue 4 (1998) wyd.: Agencja Reklamowo-Wydawnicza A. Grzegorczyk ; Od Vol. 53, issue 4/5 (2001) wyd: PAS. IFTR ; [1], 141-435 s. ; 24 cm
The results concerning the moments of stochastic linear differential equations with the multiplicative parameter in the form of a stochastic telegraph process (Shapiro-Loginov formula) are generalized to the case of Hilbert-space-valued evolution equations. The obtained results are then applied to the investigation of the moment stability of some string equation with stochastic parametric excitation. The results obtained for exact and modal approaches are compared showing the possibility of the simplified analysis as well as differences. Additionally, the system with the appropriate white-noise excitation is considered, and, with the aid of an “equivalent” white-noise process the conditions of an approximation of the telegraphic stochastic process are studied.
IPPT PAN, call no. P.262 ; click here to follow the link
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Institute of Fundamental Technological Research of the Polish Academy of Sciences
Library of the Institute of Fundamental Technological Research of The Polish Academy of Sciences
Oct 2, 2020
Apr 3, 2019
347
https://rcin.org.pl/ippt/publication/89196
Fong, J.T. Simmons, J.A.
Datta, S.K.
Gambin, W. Rychlewski, J.
Berthet, D. Hayot, J.C. Salençon, J.