Department of Mathematics, Mendel University of Agriculture and Forestry in Brno, Zemědělská 1, CZ-613 00 Brno, Czech Republic. E-mail: fisnarov@mendelu.cz
* Research supported by the grant 201/04/0580 of the Czech Grant Agency.
We deal with oscillatory properties of the higher order Sturm–Liouville difference equation. We find the exact value of the constant in some oscillation criteria for this equation. We also determine the (non)oscillation of the Euler-type difference equation.
Sturm–Liouville difference equation, linear Hamiltonian difference system, oscillation criteria, nonoscillation criteria, variational principle
