Electron. J. Diff. Equ., Vol. 2014 (2014), No. 248, pp. 1-13.

Titchmarsh-Weyl theory for canonical systems

Keshav Raj Acharya

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.

Submitted May 27, 2014. Published November 21, 2014.
Math Subject Classifications: 34B20, 34L40
Key Words: Canonical systems; Weyl-m functions; limit point; limit circle.

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Keshav Raj Acharya
Department of Mathematics
Southern Polytechnic State University
1100 South Marietta Pkwy, Marietta, GA 30060, USA
email: kacharya@spsu.edu

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