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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Veröffentlicht in:Bulletin of the Iranian Mathematical Society Jg. 50; H. 3
1. Verfasser: Grigorian, Gevorg Avagovich
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Singapore Springer Nature Singapore 01.06.2024
Schlagworte:
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
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Zusammenfassung: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.
ISSN:1017-060X
1735-8515
DOI:10.1007/s41980-023-00852-x