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Eigenvalue problems of classical Liouville operators

โœ Scribed by Byung Chan Eu


Publisher
Elsevier Science
Year
1977
Tongue
English
Weight
943 KB
Volume
20
Category
Article
ISSN
0301-0104

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The eigenvalues of Sturm Liouville (SL) problems depend not only continuously but smoothly on the problem. An expression for the derivative of an eigenvalue with respect to a given parameter: an endpoint, a boundary condition, a coefficient or the weight function, is found.

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The following problem is considered: where ฮป is a spectral parameter. The inverse problem is studied: a subsequence ฮป n โ†’ +โˆž of the sequence of eigenvalues is given and odd f is the unknown quantity. A description of the whole class of solutions of this problem is obtained. In addition, it is prove