Abstract
A boundary differential operator generated by the Sturm-Liouville differential expression with bounded operator potential and nonlocal boundary conditions is considered. The conditions for a considered operator to be a Fredholm and solvable operator are established and its resolvent is constructed.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 4, pp. 517–524, April, 1995.
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Storozh, O.G. On the conditions of solvability and the resolvent of a second-order deferential boundary operator in a space of vector functions. Ukr Math J 47, 599–608 (1995). https://doi.org/10.1007/BF01056046
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DOI: https://doi.org/10.1007/BF01056046