Advances in Analysis

Download PDF (563.7 KB) PP. 71 - 87 Pub. Date: March 9, 2017

DOI: 10.22606/aan.2017.22002

• G. A. Grigorian^*
  Institute of mathematics NAS of Armenia

The Riccati equation method is used to establish some criteria for the existence of two-parameter families of global solutions for some classes of second order non-linear 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.

Riccati equation, global solvability, oscillation, singular oscillation, Emden - Fowler equation, conditional stability, Van der Pol type equation.

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