Global solvability, stability and oscillation criteria for systems of two first-order pseudo linear ordinary differential equations

2020/12/02 by G. A. Grigorian, Grigorian, G. A.
Mathematics · Physics and Astronomy · #34D20 #Advanced Mathematical Physics Problems #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2012.01984

openalex publication_date 2020/12/02 · openalex created_date 2021/11/08 · openalex updated_date 2026/07/28

Abstract

In this paper we use the Riccati equation method with other ones to establish global solvability, stability and oscillation criteria for a class of two dimensional nonlinear systems of ordinary differential equations, which is a generalization of wide classes of second order nonlinear ordinary differential equations, studied by many authors. The applicability of some of these criteria are illustrated by examples.

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