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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2014, Volume 11, Pages 626–633 (Mi semr512)  
This article is cited in 1 scientific paper (total in 1 paper)

Differentical equations, dynamical systems and optimal control

The first regularized trace for the two-fold differentiation operator in a punctured segment

M. E. Akhymbek, D. B. Nurakhmetov

Al-Farabi Kazakh National University
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Abstract: There are found the formulas of the first regularized trace (of the type of abstract Gel'fand–Levitan formula) of the two-fold differentiation operator in a punctured segment. Proof of the main result is given by the method of contour integration with corrections of the analytic perturbation theory. Some well-known trace formulas are generalized.
Keywords: Differential operator, First Regularized Trace, Eigenvalue, Characteristic function.
Received April 29, 2013, published August 30, 2014
Document Type: Article
UDC: 517.984
MSC: 34B05,34В24,34L10
Language: Russian
Citation: M. E. Akhymbek, D. B. Nurakhmetov, “The first regularized trace for the two-fold differentiation operator in a punctured segment”, Sib. Èlektron. Mat. Izv., 11 (2014), 626–633
Citation in format AMSBIB
\Bibitem{AkhNur14}
\by M.~E.~Akhymbek, D.~B.~Nurakhmetov
\paper The first regularized trace for the two-fold differentiation operator in~a~punctured segment
\jour Sib. \`Elektron. Mat. Izv.
\yr 2014
\vol 11
\pages 626--633
\mathnet{http://mi.mathnet.ru/semr512}
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