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Form Domains and Eigenfunction Expansions for Differential Equations with Eigenparameter Dependent Boundary Conditions

  Published:2002-12-01
 Printed: Dec 2002
  • Paul Binding
  • Branko Ćurgus
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Abstract

Form domains are characterized for regular $2n$-th order differential equations subject to general self-adjoint boundary conditions depending affinely on the eigenparameter. Corresponding modes of convergence for eigenfunction expansions are studied, including uniform convergence of the first $n-1$ derivatives.
MSC Classifications: 47E05, 34B09, 47B50, 47B25, 34L10 show english descriptions Ordinary differential operators [See also 34Bxx, 34Lxx] (should also be assigned at least one other classification number in section 47)
Boundary eigenvalue problems
Operators on spaces with an indefinite metric [See also 46C50]
Symmetric and selfadjoint operators (unbounded)
Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions
47E05 - Ordinary differential operators [See also 34Bxx, 34Lxx] (should also be assigned at least one other classification number in section 47)
34B09 - Boundary eigenvalue problems
47B50 - Operators on spaces with an indefinite metric [See also 46C50]
47B25 - Symmetric and selfadjoint operators (unbounded)
34L10 - Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions
 

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