Sufficient Conditions for Functions to Form Riesz Bases in L_2 and Applications to Nonlinear Boundary-Value Problems

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dc.contributor.authorZhidkov, Peter E.
dc.date.accessioned2020-07-02T22:18:13Z
dc.date.available2020-07-02T22:18:13Z
dc.date.issued2001-12-04
dc.description.abstractWe 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent10 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationZhidkov, 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.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/11950
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2001, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectRiesz basis
dc.subjectInfinite sequence of solutions
dc.subjectNonlinear boundary-value problem
dc.titleSufficient Conditions for Functions to Form Riesz Bases in L_2 and Applications to Nonlinear Boundary-Value Problemsen_US
dc.typeArticle

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