Email this article Asymptotic Behavior of Singular Solutions of Emden-Fowler Type Equations
- Authors: Astashova I.V.1,2
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Affiliations:
- Lomonosov Moscow State University
- Plekhanov Russian University of Economics
- Issue: Vol 55, No 5 (2019)
- Pages: 581-590
- Section: Ordinary Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/155008
- DOI: https://doi.org/10.1134/S001226611905001X
- ID: 155008
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Abstract
We study the behavior of singular solutions of the Emden-Fowler type equation y(n) = p(x, y, y’,..., y(n-1)|y|k sgn y, n > 2, with a regular (k > 1) or singular (0 < k < 1) nonlinearity. A singular solution is a solution that has a vertical (possibly, resonance) asymptote (for k > 1) or a solution that vanishes together with derivatives of order < n at some point or has a point of accumulation of zeros (for 0 < k < 1).
About the authors
I. V. Astashova
Lomonosov Moscow State University; Plekhanov Russian University of Economics
Author for correspondence.
Email: ast.diffiety@gmail.com
Russian Federation, Moscow, 119991; Moscow, 117997
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