Multiple expansions in series of eigen- and associated functions of boundary eigenvalue problems nonlinearly dependent on the spectral parameter. I

DOI10.1007/BF03322632zbMath0702.34069MaRDI QIDQ914941

Gerhard Freiling

Publication date: 1990

Published in: Results in Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) General spectral theory of ordinary differential operators (34L05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (2)

Irregular boundary value problems revisited ⋮ Multiple expansions in series of eigen- and associated functions of boundary eigenvalue problems nonlinearly dependent on the spectral parameter. II

Cites Work

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• Boundary problems for ordinary differential equations with parameter in the boundary conditions
• Boundary value problems associated with multiple roots of the characteristic equation
• Root functions of boundary eigenvalue operator functions
• On the completeness and minimality of the derived chains of eigen- and associated functions of boundary eigenvalue problems nonlinearly dependant on the parameter
• The \(n\)-fold basis property of the characteristic functions of certain regular boundary-value problems
• General boundary eigenvalue problems for systems of differential equations with multiple roots of the characteristic equation

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