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The inverse nodal problem for a differential operator with an eigenvalue in the boundary condition

✍ Scribed by Hikmet Koyunbakan

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
196 KB
Volume
21
Category
Article
ISSN
0893-9659

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✦ Synopsis

We consider the Sturm-Liouville problem with an eigenvalue dependent boundary condition. In this work, by using method of Yang [X.F. Yang, A solution of the inverse nodal problem, Inverse Problems 13 (1997) 203-213.], we reconstruct the potential of the Sturm-Liouville problem with an eigenvalue in the boundary condition from nodal points (zeros of eigenfunctions). Also, we give a uniqueness theorem.

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