Abstract

Properties of general third-order linear differential equations of the canonical form $$L_3 [y] = \{ r_2 [(r_1 y')' + q_1 y]\} ' + q_2 (r_1 y)' = 0$$ are studied. Known results for classical special cases are extended to the above general form. A three-dimensional Prüfer Transformation is developed. Recent results of M. Gregus are improved.

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