Geodesic
The existence of a linear third-order equation with a countable frequency spectrum
Trudy Seminara im. I.G. Petrovskogo, Trudy Seminara imeni I. G. Petrovskogo, Tome 30 (2014) no. 30, pp. 242-251

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We construct a nonautonomous homogeneous linear third-order equation with the following property: the set of characteristic frequencies of zeroes of its solutions contains a countable set of distinct essential (i.e., taken on a set or positive measure in the space of solutions) values. 
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     author = {M. V. Smolentsev},
     title = {The existence of a linear third-order equation with a countable frequency spectrum},
     journal = {Trudy Seminara im. I.G. Petrovskogo},
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     publisher = {mathdoc},
     volume = {30},
     number = {30},
     year = {2014},
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     url = {http://geodesic.mathdoc.fr/item/TSP_2014_30_30_a13/}
}
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M. V. Smolentsev. The existence of a linear third-order equation with a countable frequency spectrum. Trudy Seminara im. I.G. Petrovskogo, Trudy Seminara imeni I. G. Petrovskogo, Tome 30 (2014) no. 30, pp. 242-251. http://geodesic.mathdoc.fr/item/TSP_2014_30_30_a13/