Differential and Integral Equations
- Differential Integral Equations
- Volume 25, Number 9/10 (2012), 915-937.
The virial theorem for higher-order differential operators
We develop virial theorems for ordinary differential equations. Both the Finkelstein and Fock methods are used. Vanishing of boundary conditions at singular points are handled by asymptotic methods as well as conditions which guarantee that the singular point is both a strong limit point and Dirichlet. Applications are given to determine intervals which contain no eigenvalues.
Differential Integral Equations, Volume 25, Number 9/10 (2012), 915-937.
First available in Project Euclid: 20 December 2012
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 34D10: Perturbations 34B20: Weyl theory and its generalizations 34B40: Boundary value problems on infinite intervals 34L10: Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions
Behncke, Horst; Hinton, Don. The virial theorem for higher-order differential operators. Differential Integral Equations 25 (2012), no. 9/10, 915--937. https://projecteuclid.org/euclid.die/1356012375