This article is cited in 1 paper

Existence and basis property of eigen and associated elements of linear operators

V. S. Mokeichev

Faculty of Computing Mathematics and Cybernetics, Kazan State University

Abstract: In this paper we continue the study described earlier in No. 5, 2006, of Russian Mathematics (Iz. VUZ). We establish conditions, providing the asymptotics mentioned in the cited paper. We prove the basis property of eigen functions and associated ones in linear problems for differential equations with deviating arguments.

Keywords: the asymptotics of eigenvalues, the basis property, eigen and associated elements.

Received: 19.05.2005
Revised: 21.02.2007

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2008, 52:6, 37–48

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