Factorization of Quasi-Differential Operators

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A quasi-differential generalization of operators of the form ${l_n}u = {u^{(n)}} + {p_1}{u^{(n - 1)}} + \cdots + {p_n}u$ is considered. This type of generalization was first formulated by M. Bôcher (1913). A result of A. Zettl (1971) giving a necessary and sufficient condition that a differential operator ${l_n}$ be factorable into a product of lower order differential operators is extended to quasi-differential expressions.