MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
The dependence of the eigenvalues of the Sturm-Liouville problem on boundary conditions
T. N. Harutyunyan

Abstract

We prove a new asymptotic formula for the eigenvalues of Sturm-Liouville problem, which is a generalization of the known formulae and which takes into account the analytic dependence of the eigenvalues on boundary conditions.

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Keywords: Sturm-Liouville problem, eigenvalue, eigenvalues function, boundary conditions.

MSC: 34L20, 47E05

Pages:  285$-$294     

Volume  60 ,  Issue  4 ,  2008