Modified Sturm-Liouville systems
نویسندگان
چکیده
منابع مشابه
Sturm - Liouville Systems Are Riesz - Spectral Systems
where x, u and y are the system state, input and output, respectively, A is a densely defined differential linear operator on an (infinite-dimensional) Hilbert space (e.g., L(a, b), a, b ∈ R), which generates a C0-semigroup, and B, C and D are bounded linear operators. Moreover, if A is a Riesz-spectral operator, it possesses several interesting properties, regarding in particular observability...
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Selfadjoint Sturm-Liouville operators Hω on L2(a, b) with random potentials are considered and it is proven, using positivity conditions, that for almost every ω the operator Hω does not share eigenvalues with a broad family of random operators and in particular with operators generated in the same way as Hω but in L2(ã, b̃) where (ã, b̃) ⊂ (a, b).
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ژورنال
عنوان ژورنال: Quarterly of Applied Mathematics
سال: 1953
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/64970