Geodesic
Conjugacy criteria for second order linear difference equations
Archivum mathematicum, Tome 34 (1998) no. 2, pp. 301-310.

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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
Classification : 39A10, 39A12
Keywords: Discrete conjugacy criteria; discrete Riccati equation; phase function; generalized zero points 
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     author = {Do\v{s}l\'y, Ond\v{r}ej and \v{R}eh\'ak, Pavel},
     title = {Conjugacy criteria for second order linear difference equations},
     journal = {Archivum mathematicum},
     pages = {301--310},
     publisher = {mathdoc},
     volume = {34},
     number = {2},
     year = {1998},
     mrnumber = {1645332},
     zbl = {0912.39008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1998__34_2_a7/}
}
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Došlý, Ondřej; Řehák, Pavel. Conjugacy criteria for second order linear difference equations. Archivum mathematicum, Tome 34 (1998) no. 2, pp. 301-310. http://geodesic.mathdoc.fr/item/ARM_1998__34_2_a7/