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Inverse problem of spectral analysis on the semiaxis for one kind of differential equation

✍ Scribed by M. S. Eremin

Publisher
Springer US
Year
1988
Tongue
English
Weight
171 KB
Volume
22
Category
Article
ISSN
0016-2663

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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

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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