Stochastic models of damped vibrations

Journal of Applied Probability

Volumn 33, Issue 4, 1996, Pages 1159-1168

  Elshamy, Maged ^a  

^a ALABAMA A AND M UNIVERSITY   (United States)

Author keywords

Brownian sheet; Damped vibrations; Deviations; Random fields; Stochastic perturbations

Indexed keywords

EID: 0030376717     PISSN: 00219002     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0021900200100555     Document Type: Article

References (6)

1. CABAÑA, E. M. (1991) A Gaussian process with parabolic covariance. J. Appl. Prob. 28, 898-902.
2. ELSHAMY, M. (1995) Randomly perturbed vibrations. J. Appl. Prob. 32, 417-428.
3. FREIDLIN, M. I. AND WENTZELL, A. D. (1984) Random Perturbations of Dynamical Systems. Springer, New York.
4. ORSINGHER, E. (1984) Damped vibrations excited by white noise. Adv. Appl. Prob. 16, 562-584.
5. ORSINGHER, E. (1989) On the maximum of Gaussian Fourier series emerging in the analysis of random vibrations. J. Appl. Prob. 26, 182-188.
6. WALSH, J. B. (1984) An introduction to stochastic partial differential equations. École d'Éte de Probabilitiés de Saint-Flour XIV. (Lecture Notes in Mathematics 1180). Springer, New York.