Spectral analysis for differential operators with singularities

Vjacheslav Anatoljevich Yurko

Abstract and Applied Analysis, 2004, vol. 2004, issue 2, 165-182

Abstract: Nonselfadjoint boundary value problems for second‐order differential equations on a finite interval with nonintegrable singularities inside the interval are considered under additional sewing conditions for solutions at the singular point. We study properties of the spectrum, prove the completeness of eigen‐ and associated functions, and investigate the inverse problem of recovering the boundary value problem from its spectral characteristics.

Date: 2004
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https://doi.org/10.1155/S1085337504310055

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2004:y:2004:i:2:p:165-182

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