Article
MSC:
34B05,
34F05,
34L10,
34L40,
60H25,
73H05 | MR 1113950 | Zbl 0737.60056 | DOI: 10.21136/AM.1991.104465
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Keywords:
ordinary differential operators; random coefficient processes; asymptotic normality of eigenvalues
ordinary differential operators; random coefficient processes; asymptotic normality of eigenvalues
Summary:
Boundary value problems for ordinary differential equations with random coefficients are dealt with. The coefficients are assumed to be Gaussian vectorial stationary processes multiplied by intensity functions and converging to the white noise process. A theorem on the limit distribution of the random eigenvalues is presented together with applications in mechanics and dynamics.
References:
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