The paper deals with linear boundary value problems for the operator equations with Noeter's operator with functions in Banach space. The authors construct the solutions of the homogeneous and heterogeneous Cauchy problem for the operator equations of the kind. The authors also get the solvability conditions and formulae for presenting the solutions of such boundary value problem. The authors have construct a generalized Green operator, investigated its characters and links generally inverses operator of the linear boundary value problem.

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