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.