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Characterization of Eigenvalues in Spectral Gap for Singular Differential Operators

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  • Zhaowen Zheng
  • Wenju Zhang

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).

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Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:271657
DOI: 10.1155/2012/271657
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