##
Oscillation theory of linear difference equations

##
*Ondrej Dosly*

**Address.** Mathematical Institute, Academy of Sciences of the Czech
Republic, Zizkova 22, CZ-616 62 Brno,

Czech Republic
**E-mail:** dosly@math.muni.cz

**Abstract.** The survey of the basic results of oscillation theory
of various linear differential equations and systems is presented. It is
shown that the discrete oscillation theory is in many aspects very similar
to its continuous counterpart. Some open problem are discussed.

**AMSclassification.** 39A10

**Keywords.** Discrete oscillation theory, Sturm-Liouville difference
equation, Riccati equation, variational principle, symplectic system.