Email this article Existence Conditions of Negative Eigenvalues in the Regular Sturm–Liouville Boundary Value Problem and Explicit Expressions for Their Number
- Authors: Kurochkin S.V.1
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Affiliations:
- Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,” Russian Academy of Sciences
- Issue: Vol 58, No 12 (2018)
- Pages: 1937-1947
- Section: Article
- URL: https://journal-vniispk.ru/0965-5425/article/view/180270
- DOI: https://doi.org/10.1134/S096554251812014X
- ID: 180270
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Abstract
For the regular Sturm–Liouville boundary value problem with general nonseparated self-adjoint boundary conditions, conditions for the existence of zero and negative eigenvalues and expressions for their number are obtained. The conditions are expresses in a closed form, and the coefficient functions of the original equation appear in these conditions indirectly through a single numerical characteristic.
About the authors
S. V. Kurochkin
Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,”Russian Academy of Sciences
Author for correspondence.
Email: kuroch@ccas.ru
Russian Federation, Moscow, 119333
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