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- W2510129725 abstract "where is a spectral parameter; pj(x) 2 L1(0; 1), j = 0; 1; 2, are complex-valued functions; s;l, s = 1; 2; 3, l = 0;s 1, are arbitrary complex constants; and = 0; 1. The boundary conditions of this problem are regular, but not strongly regular. Asymptotic formulae for eigenvalues and eigenfunctions of the considered boundary value problem are established in the case 3;2 + 1;06 2;1. It is proved that the system of root functions of this spectral problem forms a basis in the spaceLp(0; 1), 1 < p <1, when 3;2 + 1;06 2;1, pj(x)2 W j 1(0; 1),j = 1; 2, and p0(x)2 L1(0; 1); moreover, this basis is unconditional for p = 2." @default.
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- W2510129725 date "2013-01-01" @default.
- W2510129725 modified "2023-09-27" @default.
- W2510129725 title "Spectral properties of some regular boundary value problems for fourth order dierential operators" @default.
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