Titchmarsh-Weyl Theory for Canonical Systems

Authors

Keshav R. Acharya, Southern Polytechnic State UniversityFollow

Submitting Campus

Daytona Beach

Department

Mathematics

Document Type

Article

Publication/Presentation Date

2014

Abstract/Description

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.

Publication Title

Electronic Journal of Differential Equations

Publisher

Texas State University Department of Mathematics

Additional Information

“Keshav R Acharya was not affiliated with Embry-Riddle Aeronautical University at the time this paper was published.”

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