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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1988 Volume 135(177), Number 4, Pages 463–471 (Mi sm1718)

This article is cited in 4 papers

Regularized sums of roots of generalized quasipolynomials

V. A. Lyubishkin


Abstract: A method is given for obtaining formulas for regularized sums of the eigenvalues of a wide class of boundary value problems generated by ordinary differential expressions with a multiple inclusion of the spectral parameter, in the case of multiple roots of the characteristic equation.
Bibliography: 15 titles.

UDC: 517.5

MSC: Primary 34B25, 30D15; Secondary 34B05, 34B10, 30C15

Received: 17.02.1987


 English version:
Mathematics of the USSR-Sbornik, 1989, 63:2, 447–455

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