On the self-adjointness of the product operators of two \(m\)th-order differential operators on \([0,+\infty)\) (Q1780290)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On the self-adjointness of the product operators of two \(m\)th-order differential operators on \([0,+\infty)\) |
scientific article; zbMATH DE number 2174192
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the self-adjointness of the product operators of two \(m\)th-order differential operators on \([0,+\infty)\) |
scientific article; zbMATH DE number 2174192 |
Statements
On the self-adjointness of the product operators of two \(m\)th-order differential operators on \([0,+\infty)\) (English)
0 references
7 June 2005
0 references
The authors study the properties of the product of two \(m\)-th order differential operators on \([0, \infty)\). Using the construction theory of self-adjoint operators, they give a necessary and sufficient condition for the self-adjointness of the product operator. Their main theorem extends the results in the second order case proved by \textit{Z. J. Cao, J. Sun} and \textit{D. E. Edmunds} [Acta Math. Sin. (Engl. Ser.) 15, No. 3, 375--386 (1997; Zbl 0934.34017)].
0 references
self-adjointness
0 references
product operator
0 references
differential operators
0 references
0 references
