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

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