Displaying similar documents to “On rectifiable oscillation of Euler type second order linear differential equations.”

Some notes on oscillation of two-dimensional system of difference equations

Zdeněk Opluštil (2014)

Mathematica Bohemica

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Oscillatory properties of solutions to the system of first-order linear difference equations Δ u k = q k v k Δ v k = - p k u k + 1 , are studied. It can be regarded as a discrete analogy of the linear Hamiltonian system of differential equations. We establish some new conditions, which provide oscillation of the considered system. Obtained results extend and improve, in certain sense, results presented in Opluštil (2011).