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

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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.

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Acknowledgements

The author is grateful to the reviewers for their valuable comments, which made it possible to significantly improve the article.

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  1. Institute of Mathematics of NAS of Armenia, Str. Bagramian, 24/5, 0019, Yerevan, Armenia

    Gevorg Avagovich Grigorian

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  1. Gevorg Avagovich Grigorian
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Correspondence to Gevorg Avagovich Grigorian.

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Communicated by Fatemeh Helen Ghane.

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Grigorian, G.A. Global Solvability and Oscillation Criteria for a Class of Second Order Nonlinear Ordinary Differential Equations, Containing Some Important Classical Models. Bull. Iran. Math. Soc. 50, 30 (2024). https://doi.org/10.1007/s41980-023-00852-x

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  • DOI: https://doi.org/10.1007/s41980-023-00852-x

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