On fredholm property of a periodic type boundary value problem

In the paper we study Fredholm property of a boundary value problem in a finite domain of a class of second-order differential equation of elliptic type in a seperable Hilbert space.Sufficient conditions that provide regular and Fredholm solvability of the given problem, are found.These conditions are expressed only by the coefficients.The paper shows how the regular and Fredholm solvability of the boundary value problem are related with the norms of the intermediate derivative operators.Furthermore, the property of the internal compactness of the homogeneous equation is proved.

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