Abstract
Formulas are obtained for the construction of the generalized inverse operator, resolving a linear Noetherian boundary value problem in a Banach space. The first of them is based on the construction of the generalized Green operator of the initial semi-homogeneous boundary value problem, while the second one is based on the application of certain results of the theory of linear operators in Banach spaces.
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Translated from Ukrainskii Matematiches'kii Zhurnal, Vol. 43, No. 10, pp. 1343–1350, October, 1991.
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Boichuk, A.A., Zhuravlev, V.F. Construction of the solutions of linear operator equations in Banach spaces. Ukr Math J 43, 1247–1254 (1991). https://doi.org/10.1007/BF01061809
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DOI: https://doi.org/10.1007/BF01061809