Geodesic
Differential equations on~complex-analytic manifolds, and the~Maslov canonical operator
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 43 (1988) no. 3, pp. 117-148

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The review deals with the up-to-date state in the theory of differential equations on complex analitic manifolds. Most atten­tion is paid to asymptotic methods of study of the said equations. Essential progress in this field has become possible due to the application of Maslov's canonical operator method. 81 refs. 
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B. Yu. Sternin; V. E. Shatalov. Differential equations on~complex-analytic manifolds, and the~Maslov canonical operator. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 43 (1988) no. 3, pp. 117-148. http://geodesic.mathdoc.fr/item/RM_1988_43_3_a2/