Well-Posed Inverse Eigenvalue Problems.
CHICAGO UNIV ILL DEPT OF THE GEOPHYSICAL SCIENCES
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Inverse eigenvalue problems associated with self-adjoint differential equations of order two or higher are considered. The question of what kind of data are necessary and sufficient to insure the existence of a unique solution is examined. A method of solution for well-posed inverse eigenvalue problems is then presented. The implications of this analysis to the inverse problem for the earths spheroidal modes is also discussed.
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