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JOURNALS // Proceedings of the Yerevan State University, series Physical and Mathematical Sciences // Archive

Proceedings of the YSU, Physical and Mathematical Sciences, 1987 Issue 3, Pages 3–8 (Mi uzeru959)

Mathematics

On multiple completeness of eigen functions of differential operator bunch generated by general boundary conditions

G. V. Virabyan, G. A. Sargsian

Yerevan State University

Abstract: For (I), (II) spectral problem with general boundary conditions (when the $\Omega$ region is single circle) the multiple completeness of the eigenfunctions in Sobolev’s space $^0 W^1_2 (\Omega)$ has been proved.

UDC: 517.98

Received: 23.06.1986
Accepted: 30.09.1987



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