On fredholm property of a periodic type boundary value problem
Gulsum Allahyar AghayevaBaku State University, AZ 1148, Baku, AzerbaijanG AgayevaBaku State University, AZ 1148, Baku, AzerbaijanG AgayevaBaku State University, AZ 1148, Baku, AzerbaijanG AgayevaBaku State University, AZ 1148, Baku, AzerbaijanA AliyevA AliyevA DezinDubinsky YuM GasimovG GasimovaG GasimovaV GorbacukM GorbacukS KreinS MirzoyevG AghayevaS MirzoyevG AgayevaBaku State University, AZ 1148, Baku, AzerbaijanS MirzoevA AliyevG GasimovaS MirzoyevA AliyevL RustamovaS MirzoyevA AliyevL RustamovaS MirzoyevA Skalikov
2023en
ABI
Annotatsiya
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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