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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, 2004 Issue 1, Pages 22–27 (Mi uzeru472)

Mathematics

About expantion by eigen functions self-adjoint differential operator's with coefficients having precise behavior in infinity

A. H. Petrosyana, I. G. Khachatryanb

a Chair of Mathematics of Faculty of Economics, YSU, Armenia
b Chair of differential equations, YSU, Armenia

Abstract: In $L^2(\mathbb R)$ space an $m\geq 2$ order self-adjoint differential operator is observed, the coefficients of which have precise behaviour in infinity. A Furei expansion formula is derived by means of minimal system of general eigen functions of this operator.

UDC: 517.984

Received: 12.03.2003
Accepted: 20.07.2003



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