Sufficient Conditions for Functions to Form Riesz Bases in L_2 and Applications to Nonlinear Boundary-Value Problems
Date
2001-12-04
Authors
Zhidkov, Peter E.
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We find sufficient conditions for systems of functions to be Riesz bases in L2(0, 1). Then we improve a theorem presented in [13] by showing that a ``standard'' system of solutions of a nonlinear boundary-value problem, normalized to 1, is a Riesz basis in L2(0, 1). The proofs in this article use Bari's theorem.
Description
Keywords
Riesz basis, Infinite sequence of solutions, Nonlinear boundary-value problem
Citation
Zhidkov, P. E. (2001). Sufficient conditions for functions to form Riesz bases in L_2 and applications to nonlinear boundary-value problems. <i>Electronic Journal of Differential Equations, 2001</i>(74), pp. 1-10.
Rights
Attribution 4.0 International