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Matrix Riccati equations and matrix Sturm-Liouville problems |
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| Authors: | Hans Volkmer |
| Institution: | Department of Mathematical Sciences, University of Wisconsin-Milwaukee, P.O. Box 413, Milwaukee, WI 53201, USA |
| Abstract: | The asymptotic behavior of determinants of unitary solutions of matrix Riccati differential equations containing a large parameter is determined. The result leads to theorems on existence and asymptotic distribution of eigenvalues of indefinite matrix Sturm-Liouville problems. |
| Keywords: | Matrix Riccati equation Matrix Sturm-Liouville problem Eigenvalue asymptotics Indefinite eigenvalue problem |
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