Conjugacy and principal solution of generalized half-linear second order differential equations
|Original title:||Conjugacy and principal solution of generalized half-linear second order differential equations|
|Authors:||Ondřej Došlý, Jana Řezníčková|
|Type:||Article in Periodical|
|Keywords:||Half-linear differential equation; generalized Riccati equation; principal solution; minimal solution; conjugacy criterieon|
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.