Geodesic
Asymptotic classification of solutions of singular 4th-order Emden--Fowler equations with a constant negative potential
Trudy Seminara im. I.G. Petrovskogo, Trudy Seminara imeni I. G. Petrovskogo, Tome 31 (2016) no. 31, pp. 3-21

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We propose an asymptotic classification for solutions of the equation $ y^{\mathrm{IV}}(x)-p_0 |y|^{k} \operatorname{sgn} y=0$, $0$, and establish the existence of its periodic solutions. 
@article{TSP_2016_31_31_a0,
     author = {I. V. Astashova},
     title = {Asymptotic classification of solutions of singular 4th-order {Emden--Fowler} equations with a constant negative potential},
     journal = {Trudy Seminara im. I.G. Petrovskogo},
     pages = {3--21},
     publisher = {mathdoc},
     volume = {31},
     number = {31},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TSP_2016_31_31_a0/}
}
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I. V. Astashova. Asymptotic classification of solutions of singular 4th-order Emden--Fowler equations with a constant negative potential. Trudy Seminara im. I.G. Petrovskogo, Trudy Seminara imeni I. G. Petrovskogo, Tome 31 (2016) no. 31, pp. 3-21. http://geodesic.mathdoc.fr/item/TSP_2016_31_31_a0/