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 
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/
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

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.

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