On the boundedness in the mean square of the forced oscillations of linear systems with stochastic coefficients

A.A.F. Ven, van de

doi:10.1007/BF00382396

On the boundedness in the mean square of the forced oscillations of linear systems with stochastic coefficients

A.A.F. Ven, van de

Mathematics and Computer Science

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

Systems of linear differential equations with parameters that are nonwhite, Gaussian random functions are studied. Conditions sufficient for the boundedness in the mean and in the mean square of the solutions are derived. A second order system is given as an example to illustrate the methods used.

Original language	English
Pages (from-to)	233-245
Journal	Applied Scientific Research
Volume	20
Issue number	3
DOIs	https://doi.org/10.1007/BF00382396
Publication status	Published - 1969

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title = "On the boundedness in the mean square of the forced oscillations of linear systems with stochastic coefficients",

abstract = "Systems of linear differential equations with parameters that are nonwhite, Gaussian random functions are studied. Conditions sufficient for the boundedness in the mean and in the mean square of the solutions are derived. A second order system is given as an example to illustrate the methods used.",

author = "{Ven, van de}, A.A.F.",

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VL - 20

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EP - 245

JO - Applied Scientific Research

JF - Applied Scientific Research

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On the boundedness in the mean square of the forced oscillations of linear systems with stochastic coefficients

Abstract

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