In the class of holomorphic vector functions, we determine the conditions of solvability of the boundaryvalue problem for a class of second-order operator differential equations expressed in terms of the operator coefficients appearing both in the equation and in the boundary condition.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, No. 3, pp. 416–420, March, 2011.
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Mirzoev, S.S., Safarov, R.F. On holomorphic solutions of some boundary-value problems for second-order elliptic operator differential equations. Ukr Math J 63, 480–486 (2011). https://doi.org/10.1007/s11253-011-0516-x
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DOI: https://doi.org/10.1007/s11253-011-0516-x