Ning, Wuqing2022-05-022022-05-022017-05-11Ning, W. (2017). Spectral function for a nonsymmetric differential operator on the half line. <i>Electronic Journal of Differential Equations, 2017</i>(130), pp. 1-19.1072-6691https://hdl.handle.net/10877/15732In 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.Text19 pages1 file (.pdf)enAttribution 4.0 InternationalNonsymmetric first order differential operatorSpectral functionExpansion theoremArticle