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arXiv · 1907.06895

Global solvability criteria for some classes of nonlinear second order ordinary differential equations

G. A. Grigorian
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Abstract

The Riccati equation method is used to establish some global solvability criteria for some classes of second order nonlinear ordinary differential equations. Two oscillation theorems are proved. The results are applied to the Emden - Fowler equation and to the Van der Pol type equation.

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BibTeXRIS

G. A. Grigorian. 2019-07-16. Global solvability criteria for some classes of nonlinear second order ordinary differential equations. https://arxiv.org/abs/1907.06895

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