A key basis for seeking periodic solutions of the Camassa Holm equation is to understand the associated spectral problem y$= 1 4 y+\*my. The periodic spectrum can be recovered from the norming constants and the elements of the auxiliary spectrum. The potential can then be reconstructed from the peri
Inverse Spectral Problems for Differential Equations on the Half-Line with Turning Points
✍ Scribed by G. Freiling; V. Yurko
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 221 KB
- Volume
- 154
- Category
- Article
- ISSN
- 0022-0396
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✦ Synopsis
Boundary value problems for second-order differential equations on the half-line having an arbitrary number of turning points are investigated. We establish properties of the spectra, prove an expansion theorem, and study inverse problems of recovering the boundary value problem from given spectral characteristics. For these inverse problems we prove uniqueness theorems and provide a procedure for constructing the solution. 1999 Academic Press &=1 (x&x & ) l & R 0 (x),
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