A remark on connection between conjugacy of half-linear differential equation and equation with mixed nonlinearities

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Abstract

In this paper new criteria for conjugacy of half-linear ordinary differential equations are derived by using a Riccati transformation. These criteria are used to derive nonexistence and oscillation results for an equation with mixed nonlinearities, which is viewed as a perturbation of a half-linear equation.

Keywords

Half-linear differential equation
Second order equation
Conjugacy
Oscillation
Mixed powers

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Supported by the Grant 201/07/0145 of the Czech Grant Agency.