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On the singular perturbation of nonlinear systems with turning points

✍ Scribed by Hanlin Zhang; Heping Zhang

Book ID: 107483090
Publisher: Chinese Electronic Periodical Services
Year: 1999
Tongue: English
Weight: 221 KB
Volume: 3
Category: Article
ISSN: 1007-6417
DOI: 10.1007/s11741-999-0035-2

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## Abstract We prove that for any self‐adjoint operator __A__ in a separable Hilbert space ℋ︁ and a given countable set Λ = {__λ__ ~__i__~ }~__i__ ∈ℕ~ of real numbers, there exist ℋ︁~–2~‐singular perturbations __Ã__ of __A__ such that Λ ⊂ __σ__ ~__p__~ (__Ã__). In particular, if Λ = {__λ__ ~1~,…, _