Computational procedure for Sturm-Liouville problems
β Scribed by Mikhail D Milkhailov; Nikolai L Vulchanov
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 757 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0021-9991
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π SIMILAR VOLUMES
We consider a Sturm -Liouville operator Lu = -(r(t)u ) +p(t)u, where r is a (strictly) positive continuous function on ]a, b[ and p is locally integrable on ]a, b[ . Let r 1 (t) = t a (1/r) ds and choose any c β ]a, b[ . We are interested in the eigenvalue problem Lu = Ξ»m(t)u, u(a) = u(b) = 0, and t
Nonhomogeneous boundary value problems of the Sturm-Liouville type having random forcing functions are considered. Estimates for the statistical moments of the response are found in the case that the forcing function is stationary and weakly correlated, thereby extending previous work having to do w