Zhidkov, Peter E.2020-07-022020-07-022001-12-04Zhidkov, 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. 1-10.1072-6691https://hdl.handle.net/10877/11950We 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.Text10 pages1 file (.pdf)enAttribution 4.0 InternationalRiesz basisInfinite sequence of solutionsNonlinear boundary-value problemArticle