Conjugacy and principal solution of generalized half-linear second order differential equations

Abstract

We study the generalized half-linear second order differential equation and the associated Riccati type differential equation. We introduce the concepts of minimal and principal solutions of these equations and using these concepts we prove a new conjugacy criterion for the generalized half-linear equation.

Keywords

• half-linear differential equation
• generalized riccati equation
• principal solution
• minimal solution
• conjugacy criterion