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JOURNALS // Trudy Seminara imeni I. G. Petrovskogo // Archive

Tr. Semim. im. I. G. Petrovskogo, 2016 Issue 31, Pages 3–21 (Mi tsp87)

This article is cited in 3 papers

Asymptotic classification of solutions of singular 4th-order Emden–Fowler equations with a constant negative potential

I. V. Astashova


Abstract: We propose an asymptotic classification for solutions of the equation $ y^{\mathrm{IV}}(x)-p_0 |y|^{k} \operatorname{sgn} y=0$, $0<k<1, p_0>0$, and establish the existence of its periodic solutions.

UDC: 517.91


 English version:
Journal of Mathematical Sciences (New York), 2018, 234:4, 385–396

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© Steklov Math. Inst. of RAS, 2026