We consider positively homogeneous the sixth order differential equations of the type x(6) = h(t, x), where hpossesses the property that h(t, cx) = ch(t, x) for c ≥ 0. This class includes the linear equations x(6) = p(t)x and piece‐wise linear ones x(6) = k2x+- k1x−. We consider conjugate points and angles associated with extremal solutions and prove some comparison results.
Garbuza, T. (2009). Results for sixth order positively homogeneous equations. Mathematical Modelling and Analysis, 14(1), 25-32. https://doi.org/10.3846/1392-6292.2009.14.25-32
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