Analysis of Matier-Hill nonlinear equation solution taking into account resonance contour own current

The analysis of Matier-Hill nonlinear differential equation solutions that describe nonlinear resonator functioning in the highest zones of oscillation instability on the highest harmonicas is given. Stable and unstable solutions of this equation taking into account the resonance contour own current of the nonlinear parametric zone system influence on the modulation of its inductance are derived.