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

2019/07/16 by G. A. Grigorian, Grigorian, G. A.
Engineering · Mathematics · Physics and Astronomy · #34C15 #34L30 #37C99 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1907.06895

openalex publication_date 2019/07/16 · openalex created_date 2019/07/23 · openalex updated_date 2026/07/28

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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