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Measure Theory Applications to Stochastic Analysis pp 229–238Cite as

On the integration of sequences of moments' equations in the stability theory of stochastic systems

  • Stability
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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 695))

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References

  1. Kozin, F., Stability of the Linear Stochastic System Lecture Notes in Mathematics No. 294, Stability of Stochastic Dynamical Systems, Springer, Berlin 1972.

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  2. Bogdanoff, J. L., Kozin, F., Moments of the Output of Linear Random Systems, J. Acoust. Soc. Am. 34, 8, 1962

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  3. Mettler, E., Stability and Vibration Problems of Mechanical Systems under Harmonic Excitation, repr. in Dynamic Stability of Structures, Pergamon, New York, 1967.

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  4. Bolotin, V., V., Reliability Theory and Stochastic Stability, repr. in Study No. 6, Stability, University of Waterloo, 1971.

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  5. Wedig, W., Regions of Instability for a Linear System with Random Parametric Excitation, Lecture Notes in Mathematics No. 294. Stability of Stochastic Eynamical Systems, Springer 1972.

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  6. Wedig, W., Moments and Probability Densities of Parametrically Excited Systems and Continuous Systems to appear in Proc. Intern. Conference on Nonlinear Oscillations, Berlin (DDR) 1975, Akademie-Verlag.

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Authors and Affiliations

  1. Universität Karlsruhe (T.H.) Institut für Technische Mechanik, 75 Karlsruhe, Germany

    W. Wedig

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  1. W. Wedig
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G. Kallianpur D. Kölzow

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© 1978 Springer-Verlag

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Wedig, W. (1978). On the integration of sequences of moments' equations in the stability theory of stochastic systems. In: Kallianpur, G., Kölzow, D. (eds) Measure Theory Applications to Stochastic Analysis. Lecture Notes in Mathematics, vol 695. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062669

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  • DOI: https://doi.org/10.1007/BFb0062669

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09098-4

  • Online ISBN: 978-3-540-35556-4

  • eBook Packages: Springer Book Archive

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