A. H. Petrosyan, I. G. Khachatryan, “About expantion by eigen functions self-adjoint differential operator's with coefficients having precise behavior in infinity”, Proceedings of the YSU, Physical and Mathematical Sciences, 2004, no. 1, 22

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

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Proceedings of the Yerevan State University, series 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. Petrosyan^a, I. G. Khachatryan^b

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

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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.

Received: 12.03.2003
Accepted: 20.07.2003

Document Type: Article

UDC: 517.984

Language: Russian

Citation: A. H. Petrosyan, I. G. Khachatryan, “About expantion by eigen functions self-adjoint differential operator's with coefficients having precise behavior in infinity”, Proceedings of the YSU, Physical and Mathematical Sciences, 2004, no. 1, 22–27

Citation in format AMSBIB

\Bibitem{PetKha04}

\by A.~H.~Petrosyan, I.~G.~Khachatryan

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

\jour Proceedings of the YSU, Physical  and Mathematical Sciences

\yr 2004

\issue 1

\pages 22--27

\mathnet{http://mi.mathnet.ru/uzeru472}

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

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