- Belinskiy , B.P. and Caithamer , P. Energy of an elastic mechanical system driven by Gaussian noise white in time . Proceedings of the International Conference on Dynamical Systems and Differential Equations, In: Discrete and Continuous Dynamical Systems . pp. 39 – 49 .
- Belinskiy , B.P. and Caithamer , P. 2001 . Energy of a string driven by a two parameter Gaussian noise white in time . J. Applied Probability , 38 : 960 – 974 .
- Burington , R.S. 1973 . Handbook of Mathematical Tables and Formulas, , 5th Edn , New York : McGraw-Hill Book Company .
- Da Prato , G. and Zabczyk , J. 1992 . Stochastic Equations in Infinite Dimensions , Cambridge : Cambridge University Press .
- Nayfeh , A.H. 1981 . Introduction to Perturbation Techniques , A Wiley-Interscience Publications NY : John Wiley & Sons .
- Kreyszig , E. 1999 . Advanced Engineering Mathematics, , 8th Edn , New York : John Wiley & Sons Inc. .
- Krylov , N.V. 1999 . “ An analytic approach to SPDE's ” . In Stochastic Partial Differential Equations: Six Perspectives, Mathematical Surveys and Monographs , Edited by: Carmona , B.A. and Rozovskii , B. Vol. 64 , 185 – 242 . Rhode Island : AMS .
- McLachlan , N.W. 1947 . Theory and Applications of Mathieu Functions , Oxford : Clarendon Press .
- Øksendal , B. 1991 . Stochastic Differential Equations, , 3rd Edn , New York : Springer-Verlag .
- Powers , D.L. 1979 . Boundary Value Problems, , 2nd Edn , New York : Academic Press .
- Rozovskii , B.L. 1990 . Stochastic Evolution Systems , Dordrecht : Kluwer .
- Sagan , H. 1961 . Boundary and Eigenvalue Problems in Mathematical Physics , New York : John Wiley & Sons Inc. .
- Schuss , Z. 1980 . Theory and Applications of Stochastic Differential Equations , New York : Wiley .
- Shubov , M.A. , Martin , C.F. , Dauer , J.P. and Belinskiy , B.P. 1997 . Exact controllability of the damped wave equation . SIAM J. Control Optim. , 35 : 1773 – 1789 .
- Walsh , J.B. 1986 . An Introduction to stochastic partial differential equations , Ecole d'Ete de Probabilities de Saint-Floor XIV Lecture Notes in Math Vol. 1180 , 265 – 439 . Berlin : Springer .
Stochastic Stability of Some Mechanical Systems
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