Address. Ondrej Dosly, Mathematical Institute, Academy of Sciences, Zizkova 22, 616 62 Brno, CZECH REPUBLIC
Pavel Rehak, Masaryk University, Faculty of Sciences, Department of Mathematics, Janackovo nam. 2a, 662 95 Brno, CZECH REPUBLIC
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Abstract. We establish conditions which guarantee that the second order difference equation $$\Delta ^2x_k+p_k x_{k+1}=0$$ possesses a nontrivial solution with at least two generalized zero points in a given discrete interval
AMSclassification. 39A10
Keywords. Discrete conjugacy criteria, discrete Riccati equation, phase function, generalized zero points