Characterization of Eigenvalues in Spectral Gap for Singular Differential Operators

Zhaowen Zheng and Wenju Zhang

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: The spectral properties for n order differential operators are considered. When given a spectral gap (a, b) of the minimal operator T0 with deficiency index r, arbitrary m points βi (i = 1,2, …, m) in (a, b), and a positive integer function p such that ∑i=1mp(βi)≤r, T0 has a self‐adjoint extension T̃ such that each βi (i = 1,2, …, m) is an eigenvalue of T̃ with multiplicity at least p(βi).

Date: 2012
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https://doi.org/10.1155/2012/271657

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:271657

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