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- W4280531778 abstract "In this paper, we consider the general quasi-differential expressions (tau_{1}, tau_{2}, ldots, tau_{n}) each of order with complex coefficients and their formal adjoints on the interval ( a, b ) . It is shown in direct sum spaces (L_{w}^{2}left(I_{p}right), p=) 1 , 2,..., N of functions defined on each of the separate intervals with the cases of one and two singular end-points and when all solutions of the product equation (left[prod_{j=1}^{n} tau_{j}-lambda wright] u=0) and its adjoint (left[prod_{j=1}^{n} tau_{j}^{+}-bar{lambda} wright] v=) 0 are in (L_{w}^{2}(a, b)) (the limit circle case) that all well-posed extensions of the minimal operator T0 ((tau_{1}, tau_{2}, ldots, tau_{n}) ) have resolvents which are Hilbert-Schmidt integral operators and consequently have a wholly discrete spectrum. This implies that all the regularly solvable operators have all the standard essential spectra to be empty. These results are extension of those of formally symmetric expressions and those of general quasi-differential expressions." @default.
- W4280531778 created "2022-05-22" @default.
- W4280531778 creator A5058823864 @default.
- W4280531778 date "2022-05-14" @default.
- W4280531778 modified "2023-09-28" @default.
- W4280531778 title "The Regularly Solvable Operators with Their Products and Spectra in Direct Sum Spaces" @default.
- W4280531778 doi "https://doi.org/10.9734/bpi/nramcs/v2/6147f" @default.
- W4280531778 hasPublicationYear "2022" @default.
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