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Zbl 0931.34015
Carlson, Robert
Large eigenvalues and trace formulas for matrix Sturm--Liouville problems. (English)
[J] SIAM J. Math. Anal. 30, No.5, 949-962 (1999). ISSN 0036-1410; ISSN 1095-7154/e

Summary: The author describes the location of large eigenvalues for Sturm-Liouville operators with matrix coefficients. Eigenvalue asymptotics of arbitrary order are characterized for operators with smooth coefficients and elementary boundary conditions. In addition, an effective method is given for computing traces of these operators. These techniques are employed to verify a previously conjectured trace formula.
MSC 2000:
*34B24 Sturm-Liouville theory
34L20 Asymptotic distribution of eigenvalues for OD operators

Keywords: trace formulas; eigenvalue asymptotics; Sturm--Liouville problems

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