References
- Ariaratnam, S. T. (1972). Stability of mechanical systems under stochastic parametric excitation. Lecture Notes Math., 294, 291-302.
- Bogoljubov, N. N., Mitropoliskii, Ju. A., and Samojlenko, A. M. (1976). Methods of Accelerated Convergence in Nonlinear Mechanics. Springer-Verlag, New York. 291 pp.
- Bolotin, V. V. (1964). Dynamic Stability of Elastic Systems. Holden Day, San Francisco. 451 pp.
- Carkovs, J. Matvejevs, A. (2015). On stochastic resonance in pipeline, induced by pulsed fluid flow. In: Proceedings of the 14th Conference on Applied Mathematics APLIMAT 2015. Slovak University of Technology in Bratislava, Publishing House of STU, pp. 167-174.
- Carkovs, J., Stoyanov,J. (2005). Asymptotic methods for stability analysis of Markov dynamical systems with fast variables. In: Kabanov, Yu., Liptser, R. (eds.). From Stochastic Analysis to Mathematical Finance. Festschrift for Professor Albert Shiryaev. Springer-Verlag, Berlin, pp. 93-110.
- Dynkin, E. B. (1965). Markov Processes. Berlin, New Jersey. 366 pp.
- Katafygiotis, L., Tsarkov, Ye. (1996). Mean square stability of linear dynamical systems with small Markov perturbation. I. Bounded coefficients. Random Operators and Stochastic Equations, 4 (2), 133-154.
- Kato, T. (1980) Perturbations Theory for Linear Operators. Springer-Verlag, Berlin. 619 pp.
- Leipholz, H. H. E. (1978). Stability of Elastic Structures. Springer Verlag, Wien. 299 pp.
- Li, J., Hua H., Shen, R., Jin, X. (2004). Stochastic vibration of axially loaded monosymmetric Timoshenko thin-walled beam. J. Sound Vibration. 274, 915-938.
- Pavlovic , R. Kozic, P. (2003). Almost sure stability of the thin-walled beam subjected to end moments. Theor. Appl. Mech.. 30 (3), 193-207.
- Rao, S. S. (2007). Vibraton of Continuous Systems. John Wiley & Sons, Inc., Hoboken, New Jersey. 737 pp.
- Skorokhod, A. V. (1989). Asymptotic Methods of Theory of Stochastic Differential Equations. American Mathematical Society, Providence. 339 pp.
- Timoshenko, S. P., Gere, J. M. (1961). Theory of Elastic Stability. McGraw-Hill, New York. 539 pp.
- Tsarkov, Ye (J. Carkovs). (1993). Averaging in Dynamical Systems with Markov Impulse Perturbations. Bremen University, FRG. 9 Rep. Nr. 282. 41 pp.