Tytuł:

Generalized Shapiro-Loginov formula and the moment stability of a string equation with the random telegraphic parameter

Twórca:

Kotulski, Z.

Wydawca:

Polish Scientific Publishers IFTR

Miejsce wydania:

Warszawa

Data wydania/powstania:

1991

Opis:

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

Typ obiektu:

Journal/Article

Temat i słowa kluczowe:

Mechanika stosowana - czasopisma [KABA]

Abstrakt:

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.

Czasopismo/Seria/cykl:

Archives of Mechanics

Tom:

43

Zeszyt:

2-3

Strona pocz.:

143

Strona końc.:

162

Typ zasobu:

Text

Szczegółowy typ zasobu:

Journal

Źródło:

IPPT PAN, call no. P.262 ; kliknij tutaj, żeby przejść

Język:

eng

Język streszczenia:

eng ; pol ; rus

Prawa:

Creative Commons Attribution BY 4.0 license

Zasady wykorzystania:

Copyright-protected material. [CC BY 4.0] May be used within the scope specified in Creative Commons Attribution BY 4.0 license, full text available at: ; -

Digitalizacja:

Institute of Fundamental Technological Research of the Polish Academy of Sciences

Lokalizacja oryginału:

Library of the Institute of Fundamental Technological Research of The Polish Academy of Sciences

Dofinansowane ze środków:

Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget.

Dostęp:

Open