Asymptotic expansions of eigenvalues and eigenfunctions of random boundary value problems

Day, William B.

doi:10.1090/qam/580877

Author: William B. Day
Journal: Quart. Appl. Math. 38 (1980), 169-177
MSC: Primary 35P10
DOI: https://doi.org/10.1090/qam/580877
MathSciNet review: 580877
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Abstract: An asymptotic procedure is developed for calculating the eigenvalues and eigenfunctions of linear boundary-value problems which may contain random coefficients in the operator. The corresponding asymptotic series for the solution of a second-order initial-value problem is shown to be convergent.

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