The main purpose of this paper is to develop Titchmarsh- Weyl theory of canonical systems. To this end, we first observe the fact that Schrodinger and Jacobi equations can be written into canonical systems. We then discuss the theory of Weyl m-function for canonical systems and establish the relation between the Weyl m-functions of Schrodinger equations and that of canonical systems which involve Schrodinger equations.
Electronic Journal of Differential Equations
Texas State University Department of Mathematics
Scholarly Commons Citation
Acharya, K. R. (2014). Titchmarsh-Weyl Theory for Canonical Systems. Electronic Journal of Differential Equations, 2014(248). Retrieved from https://commons.erau.edu/publication/1465
“Keshav R Acharya was not affiliated with Embry-Riddle Aeronautical University at the time this paper was published.”