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Oscillatory properties of solutions to the system of first-order linear difference equations
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).
Some Wintner and Nehari type oscillation criteria are established for the second-order linear delay differential equation.
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