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Lq -inverse spectral problems for semilinear Sturm–Liouville problems

✍ Scribed by Tetsutaro Shibata

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
242 KB
Volume
69
Category
Article
ISSN
0362-546X

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On an inverse eigenvalue problem for a s
On an inverse eigenvalue problem for a semilinear Sturm–Liouville operator
✍ Peter Zhidkov 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 188 KB

The following problem is considered: where λ is a spectral parameter. The inverse problem is studied: a subsequence λ n → +∞ of the sequence of eigenvalues is given and odd f is the unknown quantity. A description of the whole class of solutions of this problem is obtained. In addition, it is prove