M. Sh. Burlutskaya, V. P. Kurdyumov, A. P. Khromov, “Refined asymptotic formulas for eigenvalues and eigenfunctions of the Dirac system with nondifferentiable potential”, Izv. Saratov Univ. Math. Mech. Inform., 2012, Volume 12, Issue 3,Pages <nobr>22

This article is cited in 3 papers

Mathematics

Refined asymptotic formulas for eigenvalues and eigenfunctions of the Dirac system with nondifferentiable potential

M. Sh. Burlutskaya^a, V. P. Kurdyumov^b, A. P. Khromov^b

^a Voronezh State University, Chair of Mathematical Analysis
^b Saratov State University, Chair of Differential Equations and Applied Mathematics

Abstract: This paper investigates the Dirac system with the continuous potential. Asymptotic formulas for the eigenvalues (including refined) and eigenfunctions are established. As an application we obtain a theorem P. Dzhakova and B. S. Mityagin on the Riesz bases with brackets.

Key words: asymptotic formulas for the eigenvalues and eigenfunctions, Dirac system, Riesz bases.

UDC: 517.984

DOI: 10.18500/1816-9791-2012-12-3-22-30