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

Nonlinear Analysis, Theory, Methods and Applications

Volumn 43, Issue 4, 2001, Pages 471-483

  Zhidkov, P E ^a  

^a JOINT INSTITUTE FOR NUCLEAR RESEARCH   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; EIGENVALUES AND EIGENFUNCTIONS; FUNCTIONS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; NONLINEAR EQUATIONS; PROBLEM SOLVING; THEOREM PROVING;

BANACH SPACE; HILBERT SPACE; SCHRODINGER EQUATION;

BOUNDARY VALUE PROBLEMS;

EID: 0035254003     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(99)00214-X     Document Type: Article

References (13)

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10. Zhidkov P.E. Completeness of systems of eigenfunctions for the Sturm-Liouville operator with potential depending on the spectral parameter and for one nonlinear problem. Sbornik: Mathematics. 188(7):1997;1071-1084.
11. P.E. Zhidkov, Eigenfunction expansions associated with a nonlinear Schrödinger equation, JINR Commun. E5-98-61 (1998).
12. P.E. Zhidkov, On the property of being a Riesz basis for the system of eigenfunctions of a nonlinear Sturm-Liouville-type problem, Sbornik: Mathematics, to appear.
13. P.E. Zhidkov, V.Zh. Sakbaev, On the existence of a countable set of solutions for a nonlinear boundary-value problem, Differentsial'nie Uravneniya 31 (4) (1995) 630-640 (in Russian).