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- W4323850449 abstract "We study spectral properties of a nonself-adjoint problem for a (2n) th order operator of differentiation with nonlocal conditions representing multipoint perturbations of the Birkhoff strongly regular self-adjoint conditions. We establish sufficient conditions under which the system of eigenfunctions is complete and, under certain additional assumptions, forms a Riesz basis. We construct a set of transformation operators, each element of which maps the system of eigenfunctions of the unperturbed problem into the system of eigenfunctions of a certain isospectral problem. The cases of problems with Birkhoff regular and irregular two-point perturbations are analyzed. Finally, we establish conditions for the existence and uniqueness of the solution of the studied problem." @default.
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- W4323850449 date "2023-02-01" @default.
- W4323850449 modified "2023-09-24" @default.
- W4323850449 title "Nonlocal Problem with Multipoint Perturbations of the Birkhoff Strongly Regular Boundary Conditions for an Even-Order Differential Operator" @default.
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- W4323850449 doi "https://doi.org/10.1007/s10958-023-06330-3" @default.
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