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Asymptotic properties of nonoscillatory proper solutions of the Emden-Fowler equation

N. A. Izobov, V. A. Rabtsevich


The paper is an overview of the selected results of the authors devoted to a solution of two problems by I. T. Kiguradze concerning to existence of nonoscillatory proper Kneser and strongly increasing solutions of the Emden – Fowler equation. Some new exact conditions of existence and asymptotic estimations of such solutions are given.


Emden – Fowler equation, nonoscillatory solutions, asymptotic properties, strongly increasing solutions, Kneser solutions.

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