Ukrainian Mathematical Bulletin

Volume 4, Issue 2, 2007 pp. 153-159.

On Completeness of a System of Root Functions for Some Boundary-value Problems for the Equation of Order $2-\varepsilon$

Authors: Anna V. Agibalova
Author institution: Donetsk National University, ul. Universitetskaya 24, 83055, Donetsk, Ukraine, AgAnnette@rambler.ru

Summary: We consider a Sturm--Liouville type differential equation of fractional order $2-\varepsilon$ satisfying separated boundary-value conditions and prove that the system of eigen and adjoint functions for this problem is complete in the space $L^1[0,1]$.

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