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aj ∈ R, bj,m,s ∈ R, m = 0, 1, . . . , kj , kj < 2n, s = 0, 1, . . . , r, j = 1, . . . , n. The spectral properties of the self-adjoint multipoint perturbation conditions of the Sturm problem for the differentiation operator with involution of even order are investigated. Cases of problems with regular and irregular boundary conditions by Birkhoff are studied. The system of eigenfunctions of a multipoint problem is constructed. Sufficient conditions have been established, under which this system is complete and, under some additional assumptions, forms the Riss basis.

matematičnì studìï/matematičnì studìï

The nonlocal problem with multi- point perturbations of the boundary conditions of the Sturm-type for an ordinary differential equation with involution of even order