Uniform Convergence of the Spectral Expansion for a Differential Operator with Periodic Matrix Coefficients

被引：0

作者：

OA Veliev

机构：

[1] Dogus University,Departartment of Mathematics, Faculty of Arts and Science

来源：

Boundary Value Problems | / 2008卷

关键词：

Boundary Condition; Differential Equation; Partial Differential Equation; Ordinary Differential Equation; Functional Equation;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We obtain asymptotic formulas for eigenvalues and eigenfunctions of the operator generated by a system of ordinary differential equations with summable coefficients and the quasiperiodic boundary conditions. Using these asymptotic formulas, we find conditions on the coefficients for which the root functions of this operator form a Riesz basis. Then, we obtain the uniformly convergent spectral expansion of the differential operators with the periodic matrix coefficients.

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