Basis properties of eigenfunctions of nonlinear Sturm-Liouville problems

Electronic Journal of Differential Equations

Volumn 2000, Issue , 2000, Pages

  Zhidkov, Peter E ^a  

^a JOINT INSTITUTE FOR NUCLEAR RESEARCH   (Russian Federation)

Author keywords

Basis; Completeness; Nonlinear eigenvalue problem sturm liouville operator; Riesz basis

Indexed keywords

EID: 52849137960     PISSN: 10726691     EISSN: 10726691     Source Type: Journal    
DOI: None     Document Type: Article

References (13)

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9. P. E. Zhidkov, Completeness of systems of eigenfunctions for the SturmLiouville operator with potential depending on the spectral parameter and for one non-linear problem, Sbornik: Mathematics, 1997, Vol. 188, No 7, pp. 1071-1084.
10. P. E. Zhidkov, On the completeness of the system of normalized eigenfunctions of a nonlinear Schrödinger-type operator on a segment, Int. J. Modern Phys. A, 1997, Vol. 12, No 1, pp. 295-298.
11. P. E. Zhidkov, Eigenfunction expansions associated with a nonlinear Schrödinger equation on a half-line, Preprint of the Joint Institute for Nuclear Research, E5-99-144, Dubna, 1999.
12. P. E. Zhidkov, Eigenfunction expansions associated with a nonlinear Schrödinger equation, Communications of the Joint Institute for Nuclear Research, E5-98-61, Dubna, 1998.
13. P. E. Zhidkov, On the property of being a basis for a denumerable set of solutions of a nonlinear Schrödinger-type boundary-value problem, Preprint of the Joint Institute for Nuclear Research, E5-98-109, Dubna, 1998; to appear in Nonlinear Analysis: Theory, Methods & Applications.