English

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

Classical Analysis and ODEs 2021-10-25 v2

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.

Keywords

Cite

@article{arxiv.2012.01984,
  title  = {Global solvability, stability and oscillation criteria for systems of two first-order pseudo linear ordinary differential equations},
  author = {G. A. Grigorian},
  journal= {arXiv preprint arXiv:2012.01984},
  year   = {2021}
}