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On uniqueness theorems for second order inverse eigenvalue problems

โœ Scribed by Joyce R McLaughlin


Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
169 KB
Volume
118
Category
Article
ISSN
0022-247X

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Let L p u = d 4 u/dx 4 -d/dx p 1 du/dx + p 2 u u 0 = u 0 = u 1 = u 1 = 0 where p โˆˆ L 2 0 1 ร— L 2 0 1 . We show that for near constant coefficients, if p is even about 1/2 and L p and L p have the same eigenvalues, then knowledge of the first coefficient uniquely determines the second up to average v