On the Well-possedness of the Problem of Reconstruction of Non-separate Boundary Conditions

Details On the Well-possedness of the Problem of Reconstruction of Non-separate Boundary Conditions On the Well-possedness of the Problem of Reconstruction of Non-separate Boundary Conditions

2008-01-24

arxiv.org/abs/0801.3766v1

Mathematics

Spectral Theory

9 pages

Scientific paper

We consider an inverse spectral problem with the third-order differential equation and the non-separated boundary conditions. Two theorems on the uniqueness of the solution of this problem are proved, and a method for establishing the unknown conditions is obtained, using 19 eigenvalues. The method of approximate calculation of unknown boundary conditions is explained, with the help of an example.

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