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Inverse problem for integral operators

✍ Scribed by V. A. Yurko

Publisher
SP MAIK Nauka/Interperiodica
Year
1985
Tongue
English
Weight
409 KB
Volume
37
Category
Article
ISSN
0001-4346

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Inverse Problem for Periodic β€œWeighted”
Inverse Problem for Periodic β€œWeighted” Operators
✍ Evgeni Korotyaev πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 290 KB

Define the periodic weighted operator Ty=&\ &2 ( \ 2 y$)$ in L 2 (R, \(x) 2 dx). Suppose a function \ # W 2 1 (RΓ‚Z) is 1-periodic real positive, \(0)=1, and let q=\$Γ‚\ # L 2 (0, 1). The spectrum of T consists of intervals , n 1, be the Dirichlet eigenvalue of the equation & y"&2qy$=z 2 y, y(0)=y(1)