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Inverse Sturm–Liouville problems with finite spectrum

✍ Scribed by Qingkai Kong; Anton Zettl

Book ID
113721411
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
167 KB
Volume
386
Category
Article
ISSN
0022-247X

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Sturm–Liouville Problems with Finite Spe
Sturm–Liouville Problems with Finite Spectrum
✍ Q. Kong; H. Wu; A. Zettl 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 122 KB

For every positive integer n, we construct a class of regular self-adjoint and nonself-adjoint Sturm-Liouville problems with exactly n eigenvalues. These n eigenvalues can be located anywhere in the complex plane in the non-self-adjoint case and anywhere along the real line in the self-adjoint case.