Geodesic
Boundary-Value Problems for a Class of Operator Differential Equations of High Order with Variable Coefficients
Matematičeskie zametki, Tome 74 (2003) no. 6, pp. 803-814.

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In this paper, we obtain sufficient conditions for the existence of a unique regular solution of the boundary-value problems for operator differential equations of order $2k$ with variable coefficients. These conditions are expressed solely in terms of operator coefficients of the equations under study. 
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A. R. Aliev. Boundary-Value Problems for a Class of Operator Differential Equations of High Order with Variable Coefficients. Matematičeskie zametki, Tome 74 (2003) no. 6, pp. 803-814. http://geodesic.mathdoc.fr/item/MZM_2003_74_6_a0/

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