Asymptotic Classification of Solutions of Singular 4th-Order Emden–Fowler Equations with a Constant Negative Potential


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Abstract

We propose an asymptotic classification for solutions of the equation yIV(x) − po|y|k sgn y = 0, 0 < k < 1, po > 0, and establish the existence of its periodic solutions.

About the authors

I. V. Astashova

Moscow State University of Economics, Statistics, and Informatics

Author for correspondence.
Email: ast@difiety.ac.ru
Russian Federation, Moscow

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