Global Solvability and Oscillation Criteria for a Class of Second Order Nonlinear Ordinary Differential Equations, Containing Some Important Classical Models

The Riccati equation method is used to establish some global solvability criteria for a classes of Lane–Emdem–Fowler and Van der Pol type equations. Two oscillation theorems are proved. The results obtained are applied to the Emden–Fowler equation and to the Van der Pol type equation.

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Bibliographic Details
Published in:	Bulletin of the Iranian Mathematical Society Vol. 50; no. 3
Main Author:	Grigorian, Gevorg Avagovich
Format:	Journal Article
Language:	English
Published:	Singapore Springer Nature Singapore 01.06.2024
Subjects:	Mathematics Mathematics and Statistics Original Paper Van der Pol type equation 34C15 Riccati equations Singular oscillation Emden–Fowler equation Global solvability 34C10 Oscillation Conditional stability
ISSN:	1017-060X, 1735-8515
Online Access:	Get full text
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