Riesz Inequality for the System of Root Functions of Second Order Ordinary Differential Operator

Author:

Garayeva Aygun1

Affiliation:

1. Department of Computational Mathematics, Baku State University, Baku, AZERBAIJAN

Abstract

An ordinary differential operator of second order with coefficients is considered. The Riesz property of the system of root functions of the given operator is studied. The criterion of Bessel property in 2 L , of root functions system is established and use it to obtain sufficient conditions for the Riesz property of a system of normalized root functions of this operator in p L .

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Subject

General Mathematics

Reference13 articles.

1. Il’in V.A. On the unconditional basicity of systems of eigen and adjoint functions of second order differential operator on a closed interval Doklady AN SSSR 1983 Vol. 273 No.5 pp.1048-1053.

2. Kerimov N.B. On the unconditional basicity of systems of eigen and adjoint functions of the fourth order differential operator Doklady AN SSSR1986, Vol. 286 No.4 pp.803-808.

3. Budaev V.D. The Bessel property and Riesz basicity of the system of root functions of differential operators l, ll Differential Equations 1991, Vol.27 No.12 2033-2044 Vol.28 No.1 pp.23-33.

4. Lomov I.S. The Bessel inequality, Riesz theorem and unconditional basicity for root vectors of ordinary differential operators Vestnik Moskow 1992, No.5 pp. 42-52.

5. Kurbanov V.M. On Hausedorff-Young inequality of root vector-functions of n-th order differential operator Differential Equations 1997, Vol.33 No.3 pp.356-367.

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