Spectral function for a nonsymmetric differential operator on the half line
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Date
2017-05-11
Authors
Ning, Wuqing
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
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.
Description
Keywords
Nonsymmetric first order differential operator, Spectral function, Expansion theorem
Citation
Ning, W. (2017). Spectral function for a nonsymmetric differential operator on the half line. <i>Electronic Journal of Differential Equations, 2017</i>(130), pp. 1-19.
Rights
Attribution 4.0 International