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

Abstract:
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