Spectral function for a nonsymmetric differential operator on the half line
In this article we study the spectral function for a nonsymmetric differential operator on the half line. Two cases of the coefficient matrix are considered, and for each case we prove by Marchenko's method that, to the boundary value problem, there corresponds a spectral function related t...
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| Format: | Article |
| Language: | English |
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Texas State University
2017-05-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2017/130/abstr.html |
| Summary: | In this article we study the spectral function for a nonsymmetric
differential operator on the half line. Two cases of the coefficient matrix
are considered, and for each case we prove by Marchenko's method that,
to the boundary value problem, there corresponds a spectral function related
to which a Marchenko-Parseval equality and an expansion formula are established.
Our results extend the classical spectral theory for self-adjoint Sturm-Liouville
operators and Dirac operators. |
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| ISSN: | 1072-6691 |