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- Title
Global Solvability and Oscillation Criteria for a Class of Second Order Nonlinear Ordinary Differential Equations, Containing Some Important Classical Models.
- Authors
Grigorian, Gevorg Avagovich
- Abstract
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.
- Subjects
NONLINEAR differential equations; ORDINARY differential equations; RICCATI equation; OSCILLATIONS; GLOBAL analysis (Mathematics)
- Publication
Bulletin of the Iranian Mathematical Society, 2024, Vol 50, Issue 3, p1
- ISSN
1018-6301
- Publication type
Article
- DOI
10.1007/s41980-023-00852-x