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arXiv · 2012.01984

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

G. A. Grigorian
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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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G. A. Grigorian. 2020-12-02. Global solvability, stability and oscillation criteria for systems of two first-order pseudo linear ordinary differential equations. https://arxiv.org/abs/2012.01984

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