Geodesic
Asymptotic normality of eigenvalues of random ordinary differential operators
Applications of Mathematics, Tome 36 (1991) no. 4, pp. 264-276.

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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.
DOI : 10.21136/AM.1991.104465
Classification : 34B05, 34F05, 34L10, 34L40, 60H25, 73H05
Keywords: ordinary differential operators; random coefficient processes; asymptotic normality of eigenvalues 
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     title = {Asymptotic normality of eigenvalues of random ordinary differential operators},
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Hála, Martin. Asymptotic normality of eigenvalues of random ordinary differential operators. Applications of Mathematics, Tome 36 (1991) no. 4, pp. 264-276. doi : 10.21136/AM.1991.104465. http://geodesic.mathdoc.fr/articles/10.21136/AM.1991.104465/

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