Electron. J. Differential Equations, Vol. 2018 (2018), No. 15, pp. 1-18.

Characterization of domains of symmetric and self-adjoint ordinary differential operators

Aiping Wang, Anton Zettl

We characterize the two point boundary conditions which determine symmetric ordinary differential operators of any order, even or odd, with complex coefficients and arbitrary deficiency index, in a Hilbert space.The self-adjoint characterizations are a special case.

Submitted September 14, 2017. Published January 10, 2018.
Math Subject Classifications: 34B20, 34B24, 47B25.
Key Words: Symmetric domains; differential operators; LC solutions.

Show me the PDF file (281 KB), TEX file for this article.

Aiping Wang
School of Mathematics and Physics
North China Electric Power University
Beijing 102206, China
email: wapxf@163.com
Anton Zettl
Math. Dept., Northern Illinois University
DeKalb, IL 60115, USA
email: zettl@msn.com

Return to the EJDE web page