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

Onderzoeksoutput: Bijdrage aan tijdschrift › Tijdschriftartikel › Academic › peer review

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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.

Originele taal-2	Engels
Pagina's (van-tot)	233-245
Tijdschrift	Applied Scientific Research
Volume	20
Nummer van het tijdschrift	3
DOI's	https://doi.org/10.1007/BF00382396
Status	Gepubliceerd - 1969

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10.1007/BF00382396

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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.",

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

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