Sufficient Conditions for Functions to Form Riesz Bases in L_2 and Applications to Nonlinear Boundary-Value Problems
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We find sufficient conditions for systems of functions to be Riesz bases in L2(0, 1). Then we improve a theorem presented in  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.
CitationZhidkov, P. E. (2001). Sufficient conditions for functions to form Riesz bases in L_2 and applications to nonlinear boundary-value problems. Electronic Journal of Differential Equations, 2001(74), pp. 1-10.
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