On the property of being a basis for a denumerable set of solutions of a nonlinear Schrödinger-type boundary-value problem

DOI10.1016/S0362-546X(99)00214-XzbMath0972.34016MaRDI QIDQ5925834

Peter E. Zhidkov

Publication date: 20 February 2001

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

existenceRiesz basissolutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40)

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Cites Work

• Boundary value problems for a class of nonlinear differential equations
• On the Completeness of the System of Normalized Eigenfunctions of a Nonlinear Schrödinger-Type Operator on a Segment
• Completeness of systems of eigenfunctions for the Sturm-Liouville operator with potential depending on the spectral parameter and for one non-linear problem
• Riesz basis property of the system of eigenfunctions for a non-linear problem of Sturm-Liouville type
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